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