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Simplifying (4x + 7) + (x + 10) + (2x + 9) = 180 Reorder the terms: (7 + 4x) + (x + 10) + (2x + 9) = 180 Remove parenthesis around (7 + 4x) 7 + 4x + (x + 10) + (2x + 9) = 180 Reorder the terms: 7 + 4x + (10 + x) + (2x + 9) = 180 Remove parenthesis around (10 + x) 7 + 4x + 10 + x + (2x + 9) = 180 Reorder the terms: 7 + 4x + 10 + x + (9 + 2x) = 180 Remove parenthesis around (9 + 2x) 7 + 4x + 10 + x + 9 + 2x = 180 Reorder the terms: 7 + 10 + 9 + 4x + x + 2x = 180 Combine like terms: 7 + 10 = 17 17 + 9 + 4x + x + 2x = 180 Combine like terms: 17 + 9 = 26 26 + 4x + x + 2x = 180 Combine like terms: 4x + x = 5x 26 + 5x + 2x = 180 Combine like terms: 5x + 2x = 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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