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