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Simplifying (3x + 50) + (4x + 32) = 180 Reorder the terms: (50 + 3x) + (4x + 32) = 180 Remove parenthesis around (50 + 3x) 50 + 3x + (4x + 32) = 180 Reorder the terms: 50 + 3x + (32 + 4x) = 180 Remove parenthesis around (32 + 4x) 50 + 3x + 32 + 4x = 180 Reorder the terms: 50 + 32 + 3x + 4x = 180 Combine like terms: 50 + 32 = 82 82 + 3x + 4x = 180 Combine like terms: 3x + 4x = 7x 82 + 7x = 180 Solving 82 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 7x = 180 + -82 Combine like terms: 82 + -82 = 0 0 + 7x = 180 + -82 7x = 180 + -82 Combine like terms: 180 + -82 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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