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