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Simplifying (2x + 20) + (4x + 10) + (3x + 15) = 180 Reorder the terms: (20 + 2x) + (4x + 10) + (3x + 15) = 180 Remove parenthesis around (20 + 2x) 20 + 2x + (4x + 10) + (3x + 15) = 180 Reorder the terms: 20 + 2x + (10 + 4x) + (3x + 15) = 180 Remove parenthesis around (10 + 4x) 20 + 2x + 10 + 4x + (3x + 15) = 180 Reorder the terms: 20 + 2x + 10 + 4x + (15 + 3x) = 180 Remove parenthesis around (15 + 3x) 20 + 2x + 10 + 4x + 15 + 3x = 180 Reorder the terms: 20 + 10 + 15 + 2x + 4x + 3x = 180 Combine like terms: 20 + 10 = 30 30 + 15 + 2x + 4x + 3x = 180 Combine like terms: 30 + 15 = 45 45 + 2x + 4x + 3x = 180 Combine like terms: 2x + 4x = 6x 45 + 6x + 3x = 180 Combine like terms: 6x + 3x = 9x 45 + 9x = 180 Solving 45 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9x = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 180 + -45 9x = 180 + -45 Combine like terms: 180 + -45 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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