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Simplifying -12(x + 18) = 4(x + 8) Reorder the terms: -12(18 + x) = 4(x + 8) (18 * -12 + x * -12) = 4(x + 8) (-216 + -12x) = 4(x + 8) Reorder the terms: -216 + -12x = 4(8 + x) -216 + -12x = (8 * 4 + x * 4) -216 + -12x = (32 + 4x) Solving -216 + -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. -216 + -12x + -4x = 32 + 4x + -4x Combine like terms: -12x + -4x = -16x -216 + -16x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -216 + -16x = 32 + 0 -216 + -16x = 32 Add '216' to each side of the equation. -216 + 216 + -16x = 32 + 216 Combine like terms: -216 + 216 = 0 0 + -16x = 32 + 216 -16x = 32 + 216 Combine like terms: 32 + 216 = 248 -16x = 248 Divide each side by '-16'. x = -15.5 Simplifying x = -15.5
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