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Simplifying -12(x + -8) = 4(x + 8) Reorder the terms: -12(-8 + x) = 4(x + 8) (-8 * -12 + x * -12) = 4(x + 8) (96 + -12x) = 4(x + 8) Reorder the terms: 96 + -12x = 4(8 + x) 96 + -12x = (8 * 4 + x * 4) 96 + -12x = (32 + 4x) Solving 96 + -12x = 32 + 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. 96 + -12x + -4x = 32 + 4x + -4x Combine like terms: -12x + -4x = -16x 96 + -16x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 96 + -16x = 32 + 0 96 + -16x = 32 Add '-96' to each side of the equation. 96 + -96 + -16x = 32 + -96 Combine like terms: 96 + -96 = 0 0 + -16x = 32 + -96 -16x = 32 + -96 Combine like terms: 32 + -96 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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