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Simplifying 12(x + -9) = -4(x + -9) Reorder the terms: 12(-9 + x) = -4(x + -9) (-9 * 12 + x * 12) = -4(x + -9) (-108 + 12x) = -4(x + -9) Reorder the terms: -108 + 12x = -4(-9 + x) -108 + 12x = (-9 * -4 + x * -4) -108 + 12x = (36 + -4x) Solving -108 + 12x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -108 + 12x + 4x = 36 + -4x + 4x Combine like terms: 12x + 4x = 16x -108 + 16x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 -108 + 16x = 36 + 0 -108 + 16x = 36 Add '108' to each side of the equation. -108 + 108 + 16x = 36 + 108 Combine like terms: -108 + 108 = 0 0 + 16x = 36 + 108 16x = 36 + 108 Combine like terms: 36 + 108 = 144 16x = 144 Divide each side by '16'. x = 9 Simplifying x = 9
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