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Simplifying 114 + -5x = 31x + 22 Reorder the terms: 114 + -5x = 22 + 31x Solving 114 + -5x = 22 + 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 = 22 + 31x + -31x Combine like terms: -5x + -31x = -36x 114 + -36x = 22 + 31x + -31x Combine like terms: 31x + -31x = 0 114 + -36x = 22 + 0 114 + -36x = 22 Add '-114' to each side of the equation. 114 + -114 + -36x = 22 + -114 Combine like terms: 114 + -114 = 0 0 + -36x = 22 + -114 -36x = 22 + -114 Combine like terms: 22 + -114 = -92 -36x = -92 Divide each side by '-36'. x = 2.555555556 Simplifying x = 2.555555556
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