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