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Simplifying (5x + 13) + (4x + 2) + (2x + -9) = 180 Reorder the terms: (13 + 5x) + (4x + 2) + (2x + -9) = 180 Remove parenthesis around (13 + 5x) 13 + 5x + (4x + 2) + (2x + -9) = 180 Reorder the terms: 13 + 5x + (2 + 4x) + (2x + -9) = 180 Remove parenthesis around (2 + 4x) 13 + 5x + 2 + 4x + (2x + -9) = 180 Reorder the terms: 13 + 5x + 2 + 4x + (-9 + 2x) = 180 Remove parenthesis around (-9 + 2x) 13 + 5x + 2 + 4x + -9 + 2x = 180 Reorder the terms: 13 + 2 + -9 + 5x + 4x + 2x = 180 Combine like terms: 13 + 2 = 15 15 + -9 + 5x + 4x + 2x = 180 Combine like terms: 15 + -9 = 6 6 + 5x + 4x + 2x = 180 Combine like terms: 5x + 4x = 9x 6 + 9x + 2x = 180 Combine like terms: 9x + 2x = 11x 6 + 11x = 180 Solving 6 + 11x = 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 + 11x = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 180 + -6 11x = 180 + -6 Combine like terms: 180 + -6 = 174 11x = 174 Divide each side by '11'. x = 15.81818182 Simplifying x = 15.81818182
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