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Simplifying 180 = 120 + (2x + -20) + (x + 5) Reorder the terms: 180 = 120 + (-20 + 2x) + (x + 5) Remove parenthesis around (-20 + 2x) 180 = 120 + -20 + 2x + (x + 5) Reorder the terms: 180 = 120 + -20 + 2x + (5 + x) Remove parenthesis around (5 + x) 180 = 120 + -20 + 2x + 5 + x Reorder the terms: 180 = 120 + -20 + 5 + 2x + x Combine like terms: 120 + -20 = 100 180 = 100 + 5 + 2x + x Combine like terms: 100 + 5 = 105 180 = 105 + 2x + x Combine like terms: 2x + x = 3x 180 = 105 + 3x Solving 180 = 105 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 180 + -3x = 105 + 3x + -3x Combine like terms: 3x + -3x = 0 180 + -3x = 105 + 0 180 + -3x = 105 Add '-180' to each side of the equation. 180 + -180 + -3x = 105 + -180 Combine like terms: 180 + -180 = 0 0 + -3x = 105 + -180 -3x = 105 + -180 Combine like terms: 105 + -180 = -75 -3x = -75 Divide each side by '-3'. x = 25 Simplifying x = 25
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