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Simplifying 17 + 9x = 31 + -5x Solving 17 + 9x = 31 + -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. 17 + 9x + 5x = 31 + -5x + 5x Combine like terms: 9x + 5x = 14x 17 + 14x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 14x = 31 + 0 17 + 14x = 31 Add '-17' to each side of the equation. 17 + -17 + 14x = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 31 + -17 14x = 31 + -17 Combine like terms: 31 + -17 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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