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Simplifying 2(x + -2) + -1(x + -1) = 2x + -2 Reorder the terms: 2(-2 + x) + -1(x + -1) = 2x + -2 (-2 * 2 + x * 2) + -1(x + -1) = 2x + -2 (-4 + 2x) + -1(x + -1) = 2x + -2 Reorder the terms: -4 + 2x + -1(-1 + x) = 2x + -2 -4 + 2x + (-1 * -1 + x * -1) = 2x + -2 -4 + 2x + (1 + -1x) = 2x + -2 Reorder the terms: -4 + 1 + 2x + -1x = 2x + -2 Combine like terms: -4 + 1 = -3 -3 + 2x + -1x = 2x + -2 Combine like terms: 2x + -1x = 1x -3 + 1x = 2x + -2 Reorder the terms: -3 + 1x = -2 + 2x Solving -3 + 1x = -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. -3 + 1x + -2x = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x -3 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1x = -2 + 0 -3 + -1x = -2 Add '3' to each side of the equation. -3 + 3 + -1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -2 + 3 -1x = -2 + 3 Combine like terms: -2 + 3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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