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Simplifying -12(x + -6) = 4(x + 5) Reorder the terms: -12(-6 + x) = 4(x + 5) (-6 * -12 + x * -12) = 4(x + 5) (72 + -12x) = 4(x + 5) Reorder the terms: 72 + -12x = 4(5 + x) 72 + -12x = (5 * 4 + x * 4) 72 + -12x = (20 + 4x) Solving 72 + -12x = 20 + 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 = 20 + 4x + -4x Combine like terms: -12x + -4x = -16x 72 + -16x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + -16x = 20 + 0 72 + -16x = 20 Add '-72' to each side of the equation. 72 + -72 + -16x = 20 + -72 Combine like terms: 72 + -72 = 0 0 + -16x = 20 + -72 -16x = 20 + -72 Combine like terms: 20 + -72 = -52 -16x = -52 Divide each side by '-16'. x = 3.25 Simplifying x = 3.25
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