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Simplifying (x + -20) + (x + 78) = 180 Reorder the terms: (-20 + x) + (x + 78) = 180 Remove parenthesis around (-20 + x) -20 + x + (x + 78) = 180 Reorder the terms: -20 + x + (78 + x) = 180 Remove parenthesis around (78 + x) -20 + x + 78 + x = 180 Reorder the terms: -20 + 78 + x + x = 180 Combine like terms: -20 + 78 = 58 58 + x + x = 180 Combine like terms: x + x = 2x 58 + 2x = 180 Solving 58 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 2x = 180 + -58 Combine like terms: 58 + -58 = 0 0 + 2x = 180 + -58 2x = 180 + -58 Combine like terms: 180 + -58 = 122 2x = 122 Divide each side by '2'. x = 61 Simplifying x = 61
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