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Simplifying 5x + -1(15x + -9) = 3(1 + -1x) Reorder the terms: 5x + -1(-9 + 15x) = 3(1 + -1x) 5x + (-9 * -1 + 15x * -1) = 3(1 + -1x) 5x + (9 + -15x) = 3(1 + -1x) Reorder the terms: 9 + 5x + -15x = 3(1 + -1x) Combine like terms: 5x + -15x = -10x 9 + -10x = 3(1 + -1x) 9 + -10x = (1 * 3 + -1x * 3) 9 + -10x = (3 + -3x) Solving 9 + -10x = 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. 9 + -10x + 3x = 3 + -3x + 3x Combine like terms: -10x + 3x = -7x 9 + -7x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -7x = 3 + 0 9 + -7x = 3 Add '-9' to each side of the equation. 9 + -9 + -7x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 3 + -9 -7x = 3 + -9 Combine like terms: 3 + -9 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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