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Simplifying (3x + 5) + (5x + 15) + (9x + 10) = 180 Reorder the terms: (5 + 3x) + (5x + 15) + (9x + 10) = 180 Remove parenthesis around (5 + 3x) 5 + 3x + (5x + 15) + (9x + 10) = 180 Reorder the terms: 5 + 3x + (15 + 5x) + (9x + 10) = 180 Remove parenthesis around (15 + 5x) 5 + 3x + 15 + 5x + (9x + 10) = 180 Reorder the terms: 5 + 3x + 15 + 5x + (10 + 9x) = 180 Remove parenthesis around (10 + 9x) 5 + 3x + 15 + 5x + 10 + 9x = 180 Reorder the terms: 5 + 15 + 10 + 3x + 5x + 9x = 180 Combine like terms: 5 + 15 = 20 20 + 10 + 3x + 5x + 9x = 180 Combine like terms: 20 + 10 = 30 30 + 3x + 5x + 9x = 180 Combine like terms: 3x + 5x = 8x 30 + 8x + 9x = 180 Combine like terms: 8x + 9x = 17x 30 + 17x = 180 Solving 30 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 17x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 17x = 180 + -30 17x = 180 + -30 Combine like terms: 180 + -30 = 150 17x = 150 Divide each side by '17'. x = 8.823529412 Simplifying x = 8.823529412
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