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Simplifying -12 + -1[2 + 5x + -2(x + 2)] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Reorder the terms: -12 + -1[2 + 5x + -2(2 + x)] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] -12 + -1[2 + 5x + (2 * -2 + x * -2)] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] -12 + -1[2 + 5x + (-4 + -2x)] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Reorder the terms: -12 + -1[2 + -4 + 5x + -2x] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Combine like terms: 2 + -4 = -2 -12 + -1[-2 + 5x + -2x] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Combine like terms: 5x + -2x = 3x -12 + -1[-2 + 3x] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] -12 + [-2 * -1 + 3x * -1] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] -12 + [2 + -3x] = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Combine like terms: -12 + 2 = -10 -10 + -3x = -9(2x + -5) + -1[8(x + -1) + -3x + 3] Reorder the terms: -10 + -3x = -9(-5 + 2x) + -1[8(x + -1) + -3x + 3] -10 + -3x = (-5 * -9 + 2x * -9) + -1[8(x + -1) + -3x + 3] -10 + -3x = (45 + -18x) + -1[8(x + -1) + -3x + 3] Reorder the terms: -10 + -3x = 45 + -18x + -1[8(-1 + x) + -3x + 3] -10 + -3x = 45 + -18x + -1[(-1 * 8 + x * 8) + -3x + 3] -10 + -3x = 45 + -18x + -1[(-8 + 8x) + -3x + 3] Reorder the terms: -10 + -3x = 45 + -18x + -1[-8 + 3 + 8x + -3x] Combine like terms: -8 + 3 = -5 -10 + -3x = 45 + -18x + -1[-5 + 8x + -3x] Combine like terms: 8x + -3x = 5x -10 + -3x = 45 + -18x + -1[-5 + 5x] -10 + -3x = 45 + -18x + [-5 * -1 + 5x * -1] -10 + -3x = 45 + -18x + [5 + -5x] Reorder the terms: -10 + -3x = 45 + 5 + -18x + -5x Combine like terms: 45 + 5 = 50 -10 + -3x = 50 + -18x + -5x Combine like terms: -18x + -5x = -23x -10 + -3x = 50 + -23x Solving -10 + -3x = 50 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -10 + -3x + 23x = 50 + -23x + 23x Combine like terms: -3x + 23x = 20x -10 + 20x = 50 + -23x + 23x Combine like terms: -23x + 23x = 0 -10 + 20x = 50 + 0 -10 + 20x = 50 Add '10' to each side of the equation. -10 + 10 + 20x = 50 + 10 Combine like terms: -10 + 10 = 0 0 + 20x = 50 + 10 20x = 50 + 10 Combine like terms: 50 + 10 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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