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Simplifying (3x + -20) + 30 + (2x + 10) = 180 Reorder the terms: (-20 + 3x) + 30 + (2x + 10) = 180 Remove parenthesis around (-20 + 3x) -20 + 3x + 30 + (2x + 10) = 180 Reorder the terms: -20 + 3x + 30 + (10 + 2x) = 180 Remove parenthesis around (10 + 2x) -20 + 3x + 30 + 10 + 2x = 180 Reorder the terms: -20 + 30 + 10 + 3x + 2x = 180 Combine like terms: -20 + 30 = 10 10 + 10 + 3x + 2x = 180 Combine like terms: 10 + 10 = 20 20 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x 20 + 5x = 180 Solving 20 + 5x = 180 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 + 5x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 180 + -20 5x = 180 + -20 Combine like terms: 180 + -20 = 160 5x = 160 Divide each side by '5'. x = 32 Simplifying x = 32
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