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Simplifying (5x + 32) + (2x + 38) + (2x + 38) = 180 Reorder the terms: (32 + 5x) + (2x + 38) + (2x + 38) = 180 Remove parenthesis around (32 + 5x) 32 + 5x + (2x + 38) + (2x + 38) = 180 Reorder the terms: 32 + 5x + (38 + 2x) + (2x + 38) = 180 Remove parenthesis around (38 + 2x) 32 + 5x + 38 + 2x + (2x + 38) = 180 Reorder the terms: 32 + 5x + 38 + 2x + (38 + 2x) = 180 Remove parenthesis around (38 + 2x) 32 + 5x + 38 + 2x + 38 + 2x = 180 Reorder the terms: 32 + 38 + 38 + 5x + 2x + 2x = 180 Combine like terms: 32 + 38 = 70 70 + 38 + 5x + 2x + 2x = 180 Combine like terms: 70 + 38 = 108 108 + 5x + 2x + 2x = 180 Combine like terms: 5x + 2x = 7x 108 + 7x + 2x = 180 Combine like terms: 7x + 2x = 9x 108 + 9x = 180 Solving 108 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 9x = 180 + -108 Combine like terms: 108 + -108 = 0 0 + 9x = 180 + -108 9x = 180 + -108 Combine like terms: 180 + -108 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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