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