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Simplifying (12x + 6) + (21x + 9) = 180 Reorder the terms: (6 + 12x) + (21x + 9) = 180 Remove parenthesis around (6 + 12x) 6 + 12x + (21x + 9) = 180 Reorder the terms: 6 + 12x + (9 + 21x) = 180 Remove parenthesis around (9 + 21x) 6 + 12x + 9 + 21x = 180 Reorder the terms: 6 + 9 + 12x + 21x = 180 Combine like terms: 6 + 9 = 15 15 + 12x + 21x = 180 Combine like terms: 12x + 21x = 33x 15 + 33x = 180 Solving 15 + 33x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 33x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 33x = 180 + -15 33x = 180 + -15 Combine like terms: 180 + -15 = 165 33x = 165 Divide each side by '33'. x = 5 Simplifying x = 5
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