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Simplifying (9x + 5) + (7x + 10) + (6x + 11) = 180 Reorder the terms: (5 + 9x) + (7x + 10) + (6x + 11) = 180 Remove parenthesis around (5 + 9x) 5 + 9x + (7x + 10) + (6x + 11) = 180 Reorder the terms: 5 + 9x + (10 + 7x) + (6x + 11) = 180 Remove parenthesis around (10 + 7x) 5 + 9x + 10 + 7x + (6x + 11) = 180 Reorder the terms: 5 + 9x + 10 + 7x + (11 + 6x) = 180 Remove parenthesis around (11 + 6x) 5 + 9x + 10 + 7x + 11 + 6x = 180 Reorder the terms: 5 + 10 + 11 + 9x + 7x + 6x = 180 Combine like terms: 5 + 10 = 15 15 + 11 + 9x + 7x + 6x = 180 Combine like terms: 15 + 11 = 26 26 + 9x + 7x + 6x = 180 Combine like terms: 9x + 7x = 16x 26 + 16x + 6x = 180 Combine like terms: 16x + 6x = 22x 26 + 22x = 180 Solving 26 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 22x = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 22x = 180 + -26 22x = 180 + -26 Combine like terms: 180 + -26 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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