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Simplifying 31x + 22 = 174 + -5x Reorder the terms: 22 + 31x = 174 + -5x Solving 22 + 31x = 174 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 22 + 31x + 5x = 174 + -5x + 5x Combine like terms: 31x + 5x = 36x 22 + 36x = 174 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 36x = 174 + 0 22 + 36x = 174 Add '-22' to each side of the equation. 22 + -22 + 36x = 174 + -22 Combine like terms: 22 + -22 = 0 0 + 36x = 174 + -22 36x = 174 + -22 Combine like terms: 174 + -22 = 152 36x = 152 Divide each side by '36'. x = 4.222222222 Simplifying x = 4.222222222
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