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Simplifying (9x + -6) + (6x + -1) + 82 = 180 Reorder the terms: (-6 + 9x) + (6x + -1) + 82 = 180 Remove parenthesis around (-6 + 9x) -6 + 9x + (6x + -1) + 82 = 180 Reorder the terms: -6 + 9x + (-1 + 6x) + 82 = 180 Remove parenthesis around (-1 + 6x) -6 + 9x + -1 + 6x + 82 = 180 Reorder the terms: -6 + -1 + 82 + 9x + 6x = 180 Combine like terms: -6 + -1 = -7 -7 + 82 + 9x + 6x = 180 Combine like terms: -7 + 82 = 75 75 + 9x + 6x = 180 Combine like terms: 9x + 6x = 15x 75 + 15x = 180 Solving 75 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 15x = 180 + -75 Combine like terms: 75 + -75 = 0 0 + 15x = 180 + -75 15x = 180 + -75 Combine like terms: 180 + -75 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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