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Simplifying (5x + 3) + (2x + 15) + (6x + 6) = 180 Reorder the terms: (3 + 5x) + (2x + 15) + (6x + 6) = 180 Remove parenthesis around (3 + 5x) 3 + 5x + (2x + 15) + (6x + 6) = 180 Reorder the terms: 3 + 5x + (15 + 2x) + (6x + 6) = 180 Remove parenthesis around (15 + 2x) 3 + 5x + 15 + 2x + (6x + 6) = 180 Reorder the terms: 3 + 5x + 15 + 2x + (6 + 6x) = 180 Remove parenthesis around (6 + 6x) 3 + 5x + 15 + 2x + 6 + 6x = 180 Reorder the terms: 3 + 15 + 6 + 5x + 2x + 6x = 180 Combine like terms: 3 + 15 = 18 18 + 6 + 5x + 2x + 6x = 180 Combine like terms: 18 + 6 = 24 24 + 5x + 2x + 6x = 180 Combine like terms: 5x + 2x = 7x 24 + 7x + 6x = 180 Combine like terms: 7x + 6x = 13x 24 + 13x = 180 Solving 24 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 13x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 180 + -24 13x = 180 + -24 Combine like terms: 180 + -24 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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