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Simplifying 2(x + 6) = -2(x + -4) Reorder the terms: 2(6 + x) = -2(x + -4) (6 * 2 + x * 2) = -2(x + -4) (12 + 2x) = -2(x + -4) Reorder the terms: 12 + 2x = -2(-4 + x) 12 + 2x = (-4 * -2 + x * -2) 12 + 2x = (8 + -2x) Solving 12 + 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. 12 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x 12 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 4x = 8 + 0 12 + 4x = 8 Add '-12' to each side of the equation. 12 + -12 + 4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 8 + -12 4x = 8 + -12 Combine like terms: 8 + -12 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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