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Simplifying 38 + 25x + 1 = 31x + 9 Reorder the terms: 38 + 1 + 25x = 31x + 9 Combine like terms: 38 + 1 = 39 39 + 25x = 31x + 9 Reorder the terms: 39 + 25x = 9 + 31x Solving 39 + 25x = 9 + 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. 39 + 25x + -31x = 9 + 31x + -31x Combine like terms: 25x + -31x = -6x 39 + -6x = 9 + 31x + -31x Combine like terms: 31x + -31x = 0 39 + -6x = 9 + 0 39 + -6x = 9 Add '-39' to each side of the equation. 39 + -39 + -6x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -6x = 9 + -39 -6x = 9 + -39 Combine like terms: 9 + -39 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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