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Simplifying (3x + 1) + (2x + 9) = 180 Reorder the terms: (1 + 3x) + (2x + 9) = 180 Remove parenthesis around (1 + 3x) 1 + 3x + (2x + 9) = 180 Reorder the terms: 1 + 3x + (9 + 2x) = 180 Remove parenthesis around (9 + 2x) 1 + 3x + 9 + 2x = 180 Reorder the terms: 1 + 9 + 3x + 2x = 180 Combine like terms: 1 + 9 = 10 10 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x 10 + 5x = 180 Solving 10 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 180 + -10 5x = 180 + -10 Combine like terms: 180 + -10 = 170 5x = 170 Divide each side by '5'. x = 34 Simplifying x = 34
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