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Simplifying 31x = 5(6x + 9) Reorder the terms: 31x = 5(9 + 6x) 31x = (9 * 5 + 6x * 5) 31x = (45 + 30x) Solving 31x = 45 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 31x + -30x = 45 + 30x + -30x Combine like terms: 31x + -30x = 1x 1x = 45 + 30x + -30x Combine like terms: 30x + -30x = 0 1x = 45 + 0 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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