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Simplifying -2(2x + -2) = 4(x + -1) Reorder the terms: -2(-2 + 2x) = 4(x + -1) (-2 * -2 + 2x * -2) = 4(x + -1) (4 + -4x) = 4(x + -1) Reorder the terms: 4 + -4x = 4(-1 + x) 4 + -4x = (-1 * 4 + x * 4) 4 + -4x = (-4 + 4x) Solving 4 + -4x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -4x + -4x = -4 + 4x + -4x Combine like terms: -4x + -4x = -8x 4 + -8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -8x = -4 + 0 4 + -8x = -4 Add '-4' to each side of the equation. 4 + -4 + -8x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -4 + -4 -8x = -4 + -4 Combine like terms: -4 + -4 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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