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Simplifying 3(x + -1) = 12(x + 8) Reorder the terms: 3(-1 + x) = 12(x + 8) (-1 * 3 + x * 3) = 12(x + 8) (-3 + 3x) = 12(x + 8) Reorder the terms: -3 + 3x = 12(8 + x) -3 + 3x = (8 * 12 + x * 12) -3 + 3x = (96 + 12x) Solving -3 + 3x = 96 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 3x + -12x = 96 + 12x + -12x Combine like terms: 3x + -12x = -9x -3 + -9x = 96 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -9x = 96 + 0 -3 + -9x = 96 Add '3' to each side of the equation. -3 + 3 + -9x = 96 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 96 + 3 -9x = 96 + 3 Combine like terms: 96 + 3 = 99 -9x = 99 Divide each side by '-9'. x = -11 Simplifying x = -11
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