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