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