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Simplifying 180 = (x + 10) + 50 + (x + 20) Reorder the terms: 180 = (10 + x) + 50 + (x + 20) Remove parenthesis around (10 + x) 180 = 10 + x + 50 + (x + 20) Reorder the terms: 180 = 10 + x + 50 + (20 + x) Remove parenthesis around (20 + x) 180 = 10 + x + 50 + 20 + x Reorder the terms: 180 = 10 + 50 + 20 + x + x Combine like terms: 10 + 50 = 60 180 = 60 + 20 + x + x Combine like terms: 60 + 20 = 80 180 = 80 + x + x Combine like terms: x + x = 2x 180 = 80 + 2x Solving 180 = 80 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 180 + -2x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 180 + -2x = 80 + 0 180 + -2x = 80 Add '-180' to each side of the equation. 180 + -180 + -2x = 80 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 80 + -180 -2x = 80 + -180 Combine like terms: 80 + -180 = -100 -2x = -100 Divide each side by '-2'. x = 50 Simplifying x = 50
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