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Simplifying 2(x + 1) + -3(x + -1) = 8 Reorder the terms: 2(1 + x) + -3(x + -1) = 8 (1 * 2 + x * 2) + -3(x + -1) = 8 (2 + 2x) + -3(x + -1) = 8 Reorder the terms: 2 + 2x + -3(-1 + x) = 8 2 + 2x + (-1 * -3 + x * -3) = 8 2 + 2x + (3 + -3x) = 8 Reorder the terms: 2 + 3 + 2x + -3x = 8 Combine like terms: 2 + 3 = 5 5 + 2x + -3x = 8 Combine like terms: 2x + -3x = -1x 5 + -1x = 8 Solving 5 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 8 + -5 -1x = 8 + -5 Combine like terms: 8 + -5 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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