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Simplifying 2x + -1(x + -1) = 8 + -2(x + -1) Reorder the terms: 2x + -1(-1 + x) = 8 + -2(x + -1) 2x + (-1 * -1 + x * -1) = 8 + -2(x + -1) 2x + (1 + -1x) = 8 + -2(x + -1) Reorder the terms: 1 + 2x + -1x = 8 + -2(x + -1) Combine like terms: 2x + -1x = 1x 1 + 1x = 8 + -2(x + -1) Reorder the terms: 1 + 1x = 8 + -2(-1 + x) 1 + 1x = 8 + (-1 * -2 + x * -2) 1 + 1x = 8 + (2 + -2x) Combine like terms: 8 + 2 = 10 1 + 1x = 10 + -2x Solving 1 + 1x = 10 + -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 = 10 + -2x + 2x Combine like terms: 1x + 2x = 3x 1 + 3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 3x = 10 + 0 1 + 3x = 10 Add '-1' to each side of the equation. 1 + -1 + 3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 10 + -1 3x = 10 + -1 Combine like terms: 10 + -1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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