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Simplifying (3x + 10) + (4x + 15) + (3x + 5) = 180 Reorder the terms: (10 + 3x) + (4x + 15) + (3x + 5) = 180 Remove parenthesis around (10 + 3x) 10 + 3x + (4x + 15) + (3x + 5) = 180 Reorder the terms: 10 + 3x + (15 + 4x) + (3x + 5) = 180 Remove parenthesis around (15 + 4x) 10 + 3x + 15 + 4x + (3x + 5) = 180 Reorder the terms: 10 + 3x + 15 + 4x + (5 + 3x) = 180 Remove parenthesis around (5 + 3x) 10 + 3x + 15 + 4x + 5 + 3x = 180 Reorder the terms: 10 + 15 + 5 + 3x + 4x + 3x = 180 Combine like terms: 10 + 15 = 25 25 + 5 + 3x + 4x + 3x = 180 Combine like terms: 25 + 5 = 30 30 + 3x + 4x + 3x = 180 Combine like terms: 3x + 4x = 7x 30 + 7x + 3x = 180 Combine like terms: 7x + 3x = 10x 30 + 10x = 180 Solving 30 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 180 + -30 10x = 180 + -30 Combine like terms: 180 + -30 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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