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Simplifying x + 8x + -1(x + -1) = 5(x + 2) Reorder the terms: x + 8x + -1(-1 + x) = 5(x + 2) x + 8x + (-1 * -1 + x * -1) = 5(x + 2) x + 8x + (1 + -1x) = 5(x + 2) Reorder the terms: 1 + x + 8x + -1x = 5(x + 2) Combine like terms: x + 8x = 9x 1 + 9x + -1x = 5(x + 2) Combine like terms: 9x + -1x = 8x 1 + 8x = 5(x + 2) Reorder the terms: 1 + 8x = 5(2 + x) 1 + 8x = (2 * 5 + x * 5) 1 + 8x = (10 + 5x) Solving 1 + 8x = 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. 1 + 8x + -5x = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x 1 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 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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