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Simplifying 23x + 31 = 16x + 17 Reorder the terms: 31 + 23x = 16x + 17 Reorder the terms: 31 + 23x = 17 + 16x Solving 31 + 23x = 17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 31 + 23x + -16x = 17 + 16x + -16x Combine like terms: 23x + -16x = 7x 31 + 7x = 17 + 16x + -16x Combine like terms: 16x + -16x = 0 31 + 7x = 17 + 0 31 + 7x = 17 Add '-31' to each side of the equation. 31 + -31 + 7x = 17 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 17 + -31 7x = 17 + -31 Combine like terms: 17 + -31 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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