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Simplifying 5x + 8 + -2(x + -1) = 3(1 + -1x) Reorder the terms: 5x + 8 + -2(-1 + x) = 3(1 + -1x) 5x + 8 + (-1 * -2 + x * -2) = 3(1 + -1x) 5x + 8 + (2 + -2x) = 3(1 + -1x) Reorder the terms: 8 + 2 + 5x + -2x = 3(1 + -1x) Combine like terms: 8 + 2 = 10 10 + 5x + -2x = 3(1 + -1x) Combine like terms: 5x + -2x = 3x 10 + 3x = 3(1 + -1x) 10 + 3x = (1 * 3 + -1x * 3) 10 + 3x = (3 + -3x) Solving 10 + 3x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 3x + 3x = 3 + -3x + 3x Combine like terms: 3x + 3x = 6x 10 + 6x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 6x = 3 + 0 10 + 6x = 3 Add '-10' to each side of the equation. 10 + -10 + 6x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 3 + -10 6x = 3 + -10 Combine like terms: 3 + -10 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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