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Simplifying 4(x + 18) = -2(x + -12) Reorder the terms: 4(18 + x) = -2(x + -12) (18 * 4 + x * 4) = -2(x + -12) (72 + 4x) = -2(x + -12) Reorder the terms: 72 + 4x = -2(-12 + x) 72 + 4x = (-12 * -2 + x * -2) 72 + 4x = (24 + -2x) Solving 72 + 4x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 72 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x 72 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 72 + 6x = 24 + 0 72 + 6x = 24 Add '-72' to each side of the equation. 72 + -72 + 6x = 24 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 24 + -72 6x = 24 + -72 Combine like terms: 24 + -72 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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