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Simplifying (x + 10) + (x + 40) = 180 Reorder the terms: (10 + x) + (x + 40) = 180 Remove parenthesis around (10 + x) 10 + x + (x + 40) = 180 Reorder the terms: 10 + x + (40 + x) = 180 Remove parenthesis around (40 + x) 10 + x + 40 + x = 180 Reorder the terms: 10 + 40 + x + x = 180 Combine like terms: 10 + 40 = 50 50 + x + x = 180 Combine like terms: x + x = 2x 50 + 2x = 180 Solving 50 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 2x = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 180 + -50 2x = 180 + -50 Combine like terms: 180 + -50 = 130 2x = 130 Divide each side by '2'. x = 65 Simplifying x = 65
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