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Simplifying 2(x + -1) + -2(x + -2) = -1(x + -3) Reorder the terms: 2(-1 + x) + -2(x + -2) = -1(x + -3) (-1 * 2 + x * 2) + -2(x + -2) = -1(x + -3) (-2 + 2x) + -2(x + -2) = -1(x + -3) Reorder the terms: -2 + 2x + -2(-2 + x) = -1(x + -3) -2 + 2x + (-2 * -2 + x * -2) = -1(x + -3) -2 + 2x + (4 + -2x) = -1(x + -3) Reorder the terms: -2 + 4 + 2x + -2x = -1(x + -3) Combine like terms: -2 + 4 = 2 2 + 2x + -2x = -1(x + -3) Combine like terms: 2x + -2x = 0 2 + 0 = -1(x + -3) 2 = -1(x + -3) Reorder the terms: 2 = -1(-3 + x) 2 = (-3 * -1 + x * -1) 2 = (3 + -1x) Solving 2 = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + x = 3 + -1x + x Combine like terms: -1x + x = 0 2 + x = 3 + 0 2 + x = 3 Add '-2' to each side of the equation. 2 + -2 + x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + x = 3 + -2 x = 3 + -2 Combine like terms: 3 + -2 = 1 x = 1 Simplifying x = 1
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