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