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Simplifying (x) + (x + 82) + (x + -13) = 180 x + (x + 82) + (x + -13) = 180 Reorder the terms: x + (82 + x) + (x + -13) = 180 Remove parenthesis around (82 + x) x + 82 + x + (x + -13) = 180 Reorder the terms: x + 82 + x + (-13 + x) = 180 Remove parenthesis around (-13 + x) x + 82 + x + -13 + x = 180 Reorder the terms: 82 + -13 + x + x + x = 180 Combine like terms: 82 + -13 = 69 69 + x + x + x = 180 Combine like terms: x + x = 2x 69 + 2x + x = 180 Combine like terms: 2x + x = 3x 69 + 3x = 180 Solving 69 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 3x = 180 + -69 Combine like terms: 69 + -69 = 0 0 + 3x = 180 + -69 3x = 180 + -69 Combine like terms: 180 + -69 = 111 3x = 111 Divide each side by '3'. x = 37 Simplifying x = 37
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