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