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Simplifying 2(5x + 8) = 31 + 7x Reorder the terms: 2(8 + 5x) = 31 + 7x (8 * 2 + 5x * 2) = 31 + 7x (16 + 10x) = 31 + 7x Solving 16 + 10x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 10x + -7x = 31 + 7x + -7x Combine like terms: 10x + -7x = 3x 16 + 3x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 3x = 31 + 0 16 + 3x = 31 Add '-16' to each side of the equation. 16 + -16 + 3x = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 31 + -16 3x = 31 + -16 Combine like terms: 31 + -16 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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