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