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Simplifying (2x + 12) + (5x + -9) + (6x + -2) = 180 Reorder the terms: (12 + 2x) + (5x + -9) + (6x + -2) = 180 Remove parenthesis around (12 + 2x) 12 + 2x + (5x + -9) + (6x + -2) = 180 Reorder the terms: 12 + 2x + (-9 + 5x) + (6x + -2) = 180 Remove parenthesis around (-9 + 5x) 12 + 2x + -9 + 5x + (6x + -2) = 180 Reorder the terms: 12 + 2x + -9 + 5x + (-2 + 6x) = 180 Remove parenthesis around (-2 + 6x) 12 + 2x + -9 + 5x + -2 + 6x = 180 Reorder the terms: 12 + -9 + -2 + 2x + 5x + 6x = 180 Combine like terms: 12 + -9 = 3 3 + -2 + 2x + 5x + 6x = 180 Combine like terms: 3 + -2 = 1 1 + 2x + 5x + 6x = 180 Combine like terms: 2x + 5x = 7x 1 + 7x + 6x = 180 Combine like terms: 7x + 6x = 13x 1 + 13x = 180 Solving 1 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13x = 180 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 180 + -1 13x = 180 + -1 Combine like terms: 180 + -1 = 179 13x = 179 Divide each side by '13'. x = 13.76923077 Simplifying x = 13.76923077
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