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Simplifying 2(7 + -5(1 + -1x)) + 8x = -12 + 3(6(x + 1) + -3x) 2(7 + (1 * -5 + -1x * -5)) + 8x = -12 + 3(6(x + 1) + -3x) 2(7 + (-5 + 5x)) + 8x = -12 + 3(6(x + 1) + -3x) Combine like terms: 7 + -5 = 2 2(2 + 5x) + 8x = -12 + 3(6(x + 1) + -3x) (2 * 2 + 5x * 2) + 8x = -12 + 3(6(x + 1) + -3x) (4 + 10x) + 8x = -12 + 3(6(x + 1) + -3x) Combine like terms: 10x + 8x = 18x 4 + 18x = -12 + 3(6(x + 1) + -3x) Reorder the terms: 4 + 18x = -12 + 3(6(1 + x) + -3x) 4 + 18x = -12 + 3((1 * 6 + x * 6) + -3x) 4 + 18x = -12 + 3((6 + 6x) + -3x) Combine like terms: 6x + -3x = 3x 4 + 18x = -12 + 3(6 + 3x) 4 + 18x = -12 + (6 * 3 + 3x * 3) 4 + 18x = -12 + (18 + 9x) Combine like terms: -12 + 18 = 6 4 + 18x = 6 + 9x Solving 4 + 18x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 18x + -9x = 6 + 9x + -9x Combine like terms: 18x + -9x = 9x 4 + 9x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 9x = 6 + 0 4 + 9x = 6 Add '-4' to each side of the equation. 4 + -4 + 9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 6 + -4 9x = 6 + -4 Combine like terms: 6 + -4 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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