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Simplifying 114 + -5x = 31x + 18 Reorder the terms: 114 + -5x = 18 + 31x Solving 114 + -5x = 18 + 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. 114 + -5x + -31x = 18 + 31x + -31x Combine like terms: -5x + -31x = -36x 114 + -36x = 18 + 31x + -31x Combine like terms: 31x + -31x = 0 114 + -36x = 18 + 0 114 + -36x = 18 Add '-114' to each side of the equation. 114 + -114 + -36x = 18 + -114 Combine like terms: 114 + -114 = 0 0 + -36x = 18 + -114 -36x = 18 + -114 Combine like terms: 18 + -114 = -96 -36x = -96 Divide each side by '-36'. x = 2.666666667 Simplifying x = 2.666666667
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