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Simplifying 15 + -1(5x + -2) = 2(x + 8) Reorder the terms: 15 + -1(-2 + 5x) = 2(x + 8) 15 + (-2 * -1 + 5x * -1) = 2(x + 8) 15 + (2 + -5x) = 2(x + 8) Combine like terms: 15 + 2 = 17 17 + -5x = 2(x + 8) Reorder the terms: 17 + -5x = 2(8 + x) 17 + -5x = (8 * 2 + x * 2) 17 + -5x = (16 + 2x) Solving 17 + -5x = 16 + 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. 17 + -5x + -2x = 16 + 2x + -2x Combine like terms: -5x + -2x = -7x 17 + -7x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -7x = 16 + 0 17 + -7x = 16 Add '-17' to each side of the equation. 17 + -17 + -7x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 16 + -17 -7x = 16 + -17 Combine like terms: 16 + -17 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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