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Simplifying 9x + 2 = 8 + -1(5x + -9) Reorder the terms: 2 + 9x = 8 + -1(5x + -9) Reorder the terms: 2 + 9x = 8 + -1(-9 + 5x) 2 + 9x = 8 + (-9 * -1 + 5x * -1) 2 + 9x = 8 + (9 + -5x) Combine like terms: 8 + 9 = 17 2 + 9x = 17 + -5x Solving 2 + 9x = 17 + -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. 2 + 9x + 5x = 17 + -5x + 5x Combine like terms: 9x + 5x = 14x 2 + 14x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 14x = 17 + 0 2 + 14x = 17 Add '-2' to each side of the equation. 2 + -2 + 14x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 17 + -2 14x = 17 + -2 Combine like terms: 17 + -2 = 15 14x = 15 Divide each side by '14'. x = 1.071428571 Simplifying x = 1.071428571
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