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Simplifying (5 + x) * 3 = 31 + x Reorder the terms for easier multiplication: 3(5 + x) = 31 + x (5 * 3 + x * 3) = 31 + x (15 + 3x) = 31 + x Solving 15 + 3x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 3x + -1x = 31 + x + -1x Combine like terms: 3x + -1x = 2x 15 + 2x = 31 + x + -1x Combine like terms: x + -1x = 0 15 + 2x = 31 + 0 15 + 2x = 31 Add '-15' to each side of the equation. 15 + -15 + 2x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 31 + -15 2x = 31 + -15 Combine like terms: 31 + -15 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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