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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 = 128 -16x = 128 Divide each side by '-16'. x = -8 Simplifying x = -8
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