7. Раскройте скобки и приведите подобные слагаемые:

### Раскройте скобки и приведите подобные слагаемые: 1) $3b + (5a - 7b) = 3b + 5a - 7b = 5a - 4b$ 2) $-3q - (8p - 3q) = -3q - 8p + 3q = -8p$ 3) $5x + (11 - 7x) = 5x + 11 - 7x = 11 - 2x$ 4) $-(8c - 4) + 4 = -8c + 4 + 4 = -8c + 8$ 5) $(2 + 3a) + (7a - 2) = 2 + 3a + 7a - 2 = 10a$ 6) $-(11a + b) - (12a - 3b) = -11a - b - 12a + 3b = -23a + 2b$ 7) $(5 - 3b) + (3b - 11) = 5 - 3b + 3b - 11 = -6$ 8) $(5a - 3b) - (2 + 5a - 3b) = 5a - 3b - 2 - 5a + 3b = -2$ 9) $a + (a - 10) - (12 + a) = a + a - 10 - 12 - a = a - 22$ 10) $(6x - 8) - 5x - (4 - 9x) = 6x - 8 - 5x - 4 + 9x = 10x - 12$ 11) $(1 - 9y) - (22y - 4) - 5 = 1 - 9y - 22y + 4 - 5 = -31y$ 12) $5b - (6b + a) - (a - 6b) = 5b - 6b - a - a + 6b = 5b - 2a$ ### Решите уравнение: 1) $-8x = -24 \Rightarrow x = 3$ 2) $50x = -5 \Rightarrow x = -0,1$ 3) $-18x = 1 \Rightarrow x = -1/18$ 4) $-3x = 2/8 = 1/4 \Rightarrow x = -1/12$ 5) $-x = -1\frac{3}{5} \Rightarrow x = 1,6$ 6) $\frac{1}{5} = -5x \Rightarrow x = -1/25 = -0,04$ 7) $-6 = -\frac{1}{6}x \Rightarrow x = 36$ 8) $-\frac{3}{7}x = \frac{2}{14} = \frac{1}{7} \Rightarrow x = -1/3$ 9) $-0,81x = 72,9 \Rightarrow x = -90$ 10) $\frac{2}{3}x = 18 \Rightarrow x = 27$ 11) $\frac{3}{4}x = 27 \Rightarrow x = 36$ 12) $\frac{2}{7}x = 0 \Rightarrow x = 0$ 13) $3x + 7 = 0 \Rightarrow 3x = -7 \Rightarrow x = -2\frac{1}{3}$ 14) $13 - 100x = 0 \Rightarrow 100x = 13 \Rightarrow x = 0,13$ 15) $0,5x + 0,15 = 0 \Rightarrow 0,5x = -0,15 \Rightarrow x = -0,3$ 16) $8 - 0,8x = 0 \Rightarrow 0,8x = 8 \Rightarrow x = 10$ 17) $7x - 4 = x - 16 \Rightarrow 6x = -12 \Rightarrow x = -2$ 18) $13 - 5x = 8 - 2x \Rightarrow -3x = -5 \Rightarrow x = 5/3 = 1\frac{2}{3}$ 19) $4y + 15 = 6y + 17 \Rightarrow -2y = 2 \Rightarrow y = -1$ 20) $1,3p - 11 = 0,8p + 5 \Rightarrow 0,5p = 16 \Rightarrow p = 32$ 21) $0,71x - 13 = 10 - 0,29x \Rightarrow x = 23$ 22) $8c + 0,73 = 4,61 - 8c \Rightarrow 16c = 3,88 \Rightarrow c = 0,2425$ 23) $5x + (3x - 7) = 9 \Rightarrow 8x = 16 \Rightarrow x = 2$ 24) $3y - (5 - y) = 11 \Rightarrow 4y = 16 \Rightarrow y = 4$ 25) $48 = 11 - (9a + 2) \Rightarrow 48 = 9 - 9a \Rightarrow 9a = -39 \Rightarrow a = -4\frac{1}{3}$ 26) $13 - (5x + 11) = 6x \Rightarrow 2 - 5x = 6x \Rightarrow 11x = 2 \Rightarrow x = 2/11$ 27) $(7x + 1) - (6x + 3) = 5 \Rightarrow x - 2 = 5 \Rightarrow x = 7$ 28) $(8x + 11) - 13 = 9x - 5 \Rightarrow 8x - 2 = 9x - 5 \Rightarrow x = 3$ 29) $2 = (3x - 5) - (7 - 4x) \Rightarrow 2 = 7x - 12 \Rightarrow 7x = 14 \Rightarrow x = 2$ 30) $8x + 5 = 119 + (7 - 3x) \Rightarrow 8x + 5 = 126 - 3x \Rightarrow 11x = 121 \Rightarrow x = 11$ 31) $5x + (3x - 3) = 6x + 11 \Rightarrow 8x - 3 = 6x + 11 \Rightarrow 2x = 14 \Rightarrow x = 7$ 32) $3a - (10 + 5a) = 54 \Rightarrow -2a - 10 = 54 \Rightarrow -2a = 64 \Rightarrow a = -32$ 33) $(x - 7) - (2x + 9) = -13 \Rightarrow -x - 16 = -13 \Rightarrow -x = 3 \Rightarrow x = -3$ 34) $0,6 + (0,5y - 1) = y + 0,5 \Rightarrow 0,5y - 0,4 = y + 0,5 \Rightarrow -0,5y = 0,9 \Rightarrow y = -1,8$ 35) $(5x - 3) + (7x - 4) = 8 - (15 - 11x) \Rightarrow 12x - 7 = -7 + 11x \Rightarrow x = 0$ 36) $(4x + 3) - (10x + 11) = 7 + (13 - 4x) \Rightarrow -6x - 8 = 20 - 4x \Rightarrow -2x = 28 \Rightarrow x = -14$ 37) $(7 - 5x) - (8 - 4x) + (5x + 6) = 8 \Rightarrow 4x + 5 = 8 \Rightarrow 4x = 3 \Rightarrow x = 0,75$ 38) $(3 - 2x) + (4 - 3x) + (5 - 5x) = 12 + 7x \Rightarrow 12 - 10x = 12 + 7x \Rightarrow 17x = 0 \Rightarrow x = 0$ 39) $3x - 5 = (x + 3)/4 \Rightarrow 12x - 20 = x + 3 \Rightarrow 11x = 23 \Rightarrow x = 23/11 = 2\frac{1}{11}$ 40) $(2 - x)/3 = x - 3 \Rightarrow 2 - x = 3x - 9 \Rightarrow 4x = 11 \Rightarrow x = 2,75$ 41) $(x - 3)/5 + (x + 2)/4 = 1/2 \Rightarrow 4(x-3) + 5(x+2) = 10 \Rightarrow 4x - 12 + 5x + 10 = 10 \Rightarrow 9x = 12 \Rightarrow x = 12/9 = 4/3 = 1\frac{1}{3}$ 42) $(2x - 3)/4 + (x + 2)/2 = 6 + (2x - 3)/2 \Rightarrow (2x-3) + 2(x+2) = 24 + 2(2x-3) \Rightarrow 2x - 3 + 2x + 4 = 24 + 4x - 6 \Rightarrow 4x + 1 = 18 + 4x \Rightarrow 1 = 18$ (Корней нет) 43) $(4x - 3)/2 - (5 - 2x)/3 - (3x - 7)/6 = 0 \Rightarrow 3(4x-3) - 2(5-2x) - (3x-7) = 0 \Rightarrow 12x - 9 - 10 + 4x - 3x + 7 = 0 \Rightarrow 13x - 12 = 0 \Rightarrow x = 12/13$ 44) $(2x - 3)/2 - (3 - 4x)/4 - (3 - 5x)/8 = 0 \Rightarrow 4(2x-3) - 2(3-4x) - (3-5x) = 0 \Rightarrow 8x - 12 - 6 + 8x - 3 + 5x = 0 \Rightarrow 21x = 21 \Rightarrow x = 1$ 45) $(x + 4)/5 - (x + 3)/3 = x - 5 - (x - 2)/2 \Rightarrow 6(x+4) - 10(x+3) = 30(x-5) - 15(x-2) \Rightarrow 6x + 24 - 10x - 30 = 30x - 150 - 15x + 30 \Rightarrow -4x - 6 = 15x - 120 \Rightarrow 19x = 114 \Rightarrow x = 6$ 46) $5x/6 - (1 - 3x)/5 = x - (x - 7)/15 - 1 \Rightarrow 25x - 6(1-3x) = 30x - 2(x-7) - 30 \Rightarrow 25x - 6 + 18x = 30x - 2x + 14 - 30 \Rightarrow 43x - 6 = 28x - 16 \Rightarrow 15x = -10 \Rightarrow x = -10/15 = -2/3$