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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 = 30 30 + x + x = 180 Combine like terms: x + x = 2x 30 + 2x = 180 Solving 30 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 180 + -30 2x = 180 + -30 Combine like terms: 180 + -30 = 150 2x = 150 Divide each side by '2'. x = 75 Simplifying x = 75
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