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