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Simplifying 12(x + 6) = 4(x + -6) Reorder the terms: 12(6 + x) = 4(x + -6) (6 * 12 + x * 12) = 4(x + -6) (72 + 12x) = 4(x + -6) Reorder the terms: 72 + 12x = 4(-6 + x) 72 + 12x = (-6 * 4 + x * 4) 72 + 12x = (-24 + 4x) Solving 72 + 12x = -24 + 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. 72 + 12x + -4x = -24 + 4x + -4x Combine like terms: 12x + -4x = 8x 72 + 8x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + 8x = -24 + 0 72 + 8x = -24 Add '-72' to each side of the equation. 72 + -72 + 8x = -24 + -72 Combine like terms: 72 + -72 = 0 0 + 8x = -24 + -72 8x = -24 + -72 Combine like terms: -24 + -72 = -96 8x = -96 Divide each side by '8'. x = -12 Simplifying x = -12
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