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Simplifying (3x + 10) + (2x + 5) + (x + -9) = 180 Reorder the terms: (10 + 3x) + (2x + 5) + (x + -9) = 180 Remove parenthesis around (10 + 3x) 10 + 3x + (2x + 5) + (x + -9) = 180 Reorder the terms: 10 + 3x + (5 + 2x) + (x + -9) = 180 Remove parenthesis around (5 + 2x) 10 + 3x + 5 + 2x + (x + -9) = 180 Reorder the terms: 10 + 3x + 5 + 2x + (-9 + x) = 180 Remove parenthesis around (-9 + x) 10 + 3x + 5 + 2x + -9 + x = 180 Reorder the terms: 10 + 5 + -9 + 3x + 2x + x = 180 Combine like terms: 10 + 5 = 15 15 + -9 + 3x + 2x + x = 180 Combine like terms: 15 + -9 = 6 6 + 3x + 2x + x = 180 Combine like terms: 3x + 2x = 5x 6 + 5x + x = 180 Combine like terms: 5x + x = 6x 6 + 6x = 180 Solving 6 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 180 + -6 6x = 180 + -6 Combine like terms: 180 + -6 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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