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Simplifying (x + -2) + -2(x + -1) = x + 1 + -1(-1x + -3) Reorder the terms: (-2 + x) + -2(x + -1) = x + 1 + -1(-1x + -3) Remove parenthesis around (-2 + x) -2 + x + -2(x + -1) = x + 1 + -1(-1x + -3) Reorder the terms: -2 + x + -2(-1 + x) = x + 1 + -1(-1x + -3) -2 + x + (-1 * -2 + x * -2) = x + 1 + -1(-1x + -3) -2 + x + (2 + -2x) = x + 1 + -1(-1x + -3) Reorder the terms: -2 + 2 + x + -2x = x + 1 + -1(-1x + -3) Combine like terms: -2 + 2 = 0 0 + x + -2x = x + 1 + -1(-1x + -3) x + -2x = x + 1 + -1(-1x + -3) Combine like terms: x + -2x = -1x -1x = x + 1 + -1(-1x + -3) Reorder the terms: -1x = x + 1 + -1(-3 + -1x) -1x = x + 1 + (-3 * -1 + -1x * -1) -1x = x + 1 + (3 + 1x) Reorder the terms: -1x = 1 + 3 + x + 1x Combine like terms: 1 + 3 = 4 -1x = 4 + x + 1x Combine like terms: x + 1x = 2x -1x = 4 + 2x Solving -1x = 4 + 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. -1x + -2x = 4 + 2x + -2x Combine like terms: -1x + -2x = -3x -3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -3x = 4 + 0 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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