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Simplifying (2x + 14) + (5x + 12) = 180 Reorder the terms: (14 + 2x) + (5x + 12) = 180 Remove parenthesis around (14 + 2x) 14 + 2x + (5x + 12) = 180 Reorder the terms: 14 + 2x + (12 + 5x) = 180 Remove parenthesis around (12 + 5x) 14 + 2x + 12 + 5x = 180 Reorder the terms: 14 + 12 + 2x + 5x = 180 Combine like terms: 14 + 12 = 26 26 + 2x + 5x = 180 Combine like terms: 2x + 5x = 7x 26 + 7x = 180 Solving 26 + 7x = 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 + 7x = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 180 + -26 7x = 180 + -26 Combine like terms: 180 + -26 = 154 7x = 154 Divide each side by '7'. x = 22 Simplifying x = 22
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