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Simplifying 5x + 31 = 3(x + 12) Reorder the terms: 31 + 5x = 3(x + 12) Reorder the terms: 31 + 5x = 3(12 + x) 31 + 5x = (12 * 3 + x * 3) 31 + 5x = (36 + 3x) Solving 31 + 5x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 31 + 5x + -3x = 36 + 3x + -3x Combine like terms: 5x + -3x = 2x 31 + 2x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + 2x = 36 + 0 31 + 2x = 36 Add '-31' to each side of the equation. 31 + -31 + 2x = 36 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 36 + -31 2x = 36 + -31 Combine like terms: 36 + -31 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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