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Simplifying 2x + 31 = 9x + 24 Reorder the terms: 31 + 2x = 9x + 24 Reorder the terms: 31 + 2x = 24 + 9x Solving 31 + 2x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 31 + 2x + -9x = 24 + 9x + -9x Combine like terms: 2x + -9x = -7x 31 + -7x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -7x = 24 + 0 31 + -7x = 24 Add '-31' to each side of the equation. 31 + -31 + -7x = 24 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = 24 + -31 -7x = 24 + -31 Combine like terms: 24 + -31 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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