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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 = 10 10 + 3x + 5x + 9x = 180 Combine like terms: 3x + 5x = 8x 10 + 8x + 9x = 180 Combine like terms: 8x + 9x = 17x 10 + 17x = 180 Solving 10 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 17x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 180 + -10 17x = 180 + -10 Combine like terms: 180 + -10 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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