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Simplifying (2x + -8) + (x + 17) = 81 Reorder the terms: (-8 + 2x) + (x + 17) = 81 Remove parenthesis around (-8 + 2x) -8 + 2x + (x + 17) = 81 Reorder the terms: -8 + 2x + (17 + x) = 81 Remove parenthesis around (17 + x) -8 + 2x + 17 + x = 81 Reorder the terms: -8 + 17 + 2x + x = 81 Combine like terms: -8 + 17 = 9 9 + 2x + x = 81 Combine like terms: 2x + x = 3x 9 + 3x = 81 Solving 9 + 3x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3x = 81 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 81 + -9 3x = 81 + -9 Combine like terms: 81 + -9 = 72 3x = 72 Divide each side by '3'. x = 24 Simplifying x = 24
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