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Simplifying 17 + 2x = 31 + -5x Solving 17 + 2x = 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 + 2x + 5x = 31 + -5x + 5x Combine like terms: 2x + 5x = 7x 17 + 7x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 7x = 31 + 0 17 + 7x = 31 Add '-17' to each side of the equation. 17 + -17 + 7x = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 31 + -17 7x = 31 + -17 Combine like terms: 31 + -17 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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