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Simplifying 2(x + 12) = -2(x + -4) Reorder the terms: 2(12 + x) = -2(x + -4) (12 * 2 + x * 2) = -2(x + -4) (24 + 2x) = -2(x + -4) Reorder the terms: 24 + 2x = -2(-4 + x) 24 + 2x = (-4 * -2 + x * -2) 24 + 2x = (8 + -2x) Solving 24 + 2x = 8 + -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. 24 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x 24 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 4x = 8 + 0 24 + 4x = 8 Add '-24' to each side of the equation. 24 + -24 + 4x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 8 + -24 4x = 8 + -24 Combine like terms: 8 + -24 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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