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Simplifying (3x + 12) + (7x + -32) = 180 Reorder the terms: (12 + 3x) + (7x + -32) = 180 Remove parenthesis around (12 + 3x) 12 + 3x + (7x + -32) = 180 Reorder the terms: 12 + 3x + (-32 + 7x) = 180 Remove parenthesis around (-32 + 7x) 12 + 3x + -32 + 7x = 180 Reorder the terms: 12 + -32 + 3x + 7x = 180 Combine like terms: 12 + -32 = -20 -20 + 3x + 7x = 180 Combine like terms: 3x + 7x = 10x -20 + 10x = 180 Solving -20 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 180 + 20 10x = 180 + 20 Combine like terms: 180 + 20 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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