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Simplifying 5x + 7 = 9 + -1(2x + -8) Reorder the terms: 7 + 5x = 9 + -1(2x + -8) Reorder the terms: 7 + 5x = 9 + -1(-8 + 2x) 7 + 5x = 9 + (-8 * -1 + 2x * -1) 7 + 5x = 9 + (8 + -2x) Combine like terms: 9 + 8 = 17 7 + 5x = 17 + -2x Solving 7 + 5x = 17 + -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. 7 + 5x + 2x = 17 + -2x + 2x Combine like terms: 5x + 2x = 7x 7 + 7x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 7x = 17 + 0 7 + 7x = 17 Add '-7' to each side of the equation. 7 + -7 + 7x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 17 + -7 7x = 17 + -7 Combine like terms: 17 + -7 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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