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Simplifying (6x + 11) + (3x + 2) + (5x + -1) = 180 Reorder the terms: (11 + 6x) + (3x + 2) + (5x + -1) = 180 Remove parenthesis around (11 + 6x) 11 + 6x + (3x + 2) + (5x + -1) = 180 Reorder the terms: 11 + 6x + (2 + 3x) + (5x + -1) = 180 Remove parenthesis around (2 + 3x) 11 + 6x + 2 + 3x + (5x + -1) = 180 Reorder the terms: 11 + 6x + 2 + 3x + (-1 + 5x) = 180 Remove parenthesis around (-1 + 5x) 11 + 6x + 2 + 3x + -1 + 5x = 180 Reorder the terms: 11 + 2 + -1 + 6x + 3x + 5x = 180 Combine like terms: 11 + 2 = 13 13 + -1 + 6x + 3x + 5x = 180 Combine like terms: 13 + -1 = 12 12 + 6x + 3x + 5x = 180 Combine like terms: 6x + 3x = 9x 12 + 9x + 5x = 180 Combine like terms: 9x + 5x = 14x 12 + 14x = 180 Solving 12 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 180 + -12 14x = 180 + -12 Combine like terms: 180 + -12 = 168 14x = 168 Divide each side by '14'. x = 12 Simplifying x = 12
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