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Simplifying 32 + (2x + 15) + (x + -5) = 180 Reorder the terms: 32 + (15 + 2x) + (x + -5) = 180 Remove parenthesis around (15 + 2x) 32 + 15 + 2x + (x + -5) = 180 Reorder the terms: 32 + 15 + 2x + (-5 + x) = 180 Remove parenthesis around (-5 + x) 32 + 15 + 2x + -5 + x = 180 Reorder the terms: 32 + 15 + -5 + 2x + x = 180 Combine like terms: 32 + 15 = 47 47 + -5 + 2x + x = 180 Combine like terms: 47 + -5 = 42 42 + 2x + x = 180 Combine like terms: 2x + x = 3x 42 + 3x = 180 Solving 42 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 3x = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 180 + -42 3x = 180 + -42 Combine like terms: 180 + -42 = 138 3x = 138 Divide each side by '3'. x = 46 Simplifying x = 46
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