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Simplifying x + 8 + -1(x + -1) = 5(x + 2) Reorder the terms: x + 8 + -1(-1 + x) = 5(x + 2) x + 8 + (-1 * -1 + x * -1) = 5(x + 2) x + 8 + (1 + -1x) = 5(x + 2) Reorder the terms: 8 + 1 + x + -1x = 5(x + 2) Combine like terms: 8 + 1 = 9 9 + x + -1x = 5(x + 2) Combine like terms: x + -1x = 0 9 + 0 = 5(x + 2) 9 = 5(x + 2) Reorder the terms: 9 = 5(2 + x) 9 = (2 * 5 + x * 5) 9 = (10 + 5x) Solving 9 = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -5x = 10 + 0 9 + -5x = 10 Add '-9' to each side of the equation. 9 + -9 + -5x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 10 + -9 -5x = 10 + -9 Combine like terms: 10 + -9 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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