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Simplifying (4x + 47) + (7x + -32) = 180 Reorder the terms: (47 + 4x) + (7x + -32) = 180 Remove parenthesis around (47 + 4x) 47 + 4x + (7x + -32) = 180 Reorder the terms: 47 + 4x + (-32 + 7x) = 180 Remove parenthesis around (-32 + 7x) 47 + 4x + -32 + 7x = 180 Reorder the terms: 47 + -32 + 4x + 7x = 180 Combine like terms: 47 + -32 = 15 15 + 4x + 7x = 180 Combine like terms: 4x + 7x = 11x 15 + 11x = 180 Solving 15 + 11x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 180 + -15 11x = 180 + -15 Combine like terms: 180 + -15 = 165 11x = 165 Divide each side by '11'. x = 15 Simplifying x = 15
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