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Simplifying (x + -10) + (x + 30) = 120 Reorder the terms: (-10 + x) + (x + 30) = 120 Remove parenthesis around (-10 + x) -10 + x + (x + 30) = 120 Reorder the terms: -10 + x + (30 + x) = 120 Remove parenthesis around (30 + x) -10 + x + 30 + x = 120 Reorder the terms: -10 + 30 + x + x = 120 Combine like terms: -10 + 30 = 20 20 + x + x = 120 Combine like terms: x + x = 2x 20 + 2x = 120 Solving 20 + 2x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 120 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 120 + -20 2x = 120 + -20 Combine like terms: 120 + -20 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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