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