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Simplifying 24x + 17 = 31x + 114 Reorder the terms: 17 + 24x = 31x + 114 Reorder the terms: 17 + 24x = 114 + 31x Solving 17 + 24x = 114 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 17 + 24x + -31x = 114 + 31x + -31x Combine like terms: 24x + -31x = -7x 17 + -7x = 114 + 31x + -31x Combine like terms: 31x + -31x = 0 17 + -7x = 114 + 0 17 + -7x = 114 Add '-17' to each side of the equation. 17 + -17 + -7x = 114 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 114 + -17 -7x = 114 + -17 Combine like terms: 114 + -17 = 97 -7x = 97 Divide each side by '-7'. x = -13.85714286 Simplifying x = -13.85714286
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