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Simplifying -12(x + -6) = 3(x + 64) Reorder the terms: -12(-6 + x) = 3(x + 64) (-6 * -12 + x * -12) = 3(x + 64) (72 + -12x) = 3(x + 64) Reorder the terms: 72 + -12x = 3(64 + x) 72 + -12x = (64 * 3 + x * 3) 72 + -12x = (192 + 3x) Solving 72 + -12x = 192 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 72 + -12x + -3x = 192 + 3x + -3x Combine like terms: -12x + -3x = -15x 72 + -15x = 192 + 3x + -3x Combine like terms: 3x + -3x = 0 72 + -15x = 192 + 0 72 + -15x = 192 Add '-72' to each side of the equation. 72 + -72 + -15x = 192 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 192 + -72 -15x = 192 + -72 Combine like terms: 192 + -72 = 120 -15x = 120 Divide each side by '-15'. x = -8 Simplifying x = -8
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