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