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