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Simplifying (3x + 45) + (7x + 5) = 180 Reorder the terms: (45 + 3x) + (7x + 5) = 180 Remove parenthesis around (45 + 3x) 45 + 3x + (7x + 5) = 180 Reorder the terms: 45 + 3x + (5 + 7x) = 180 Remove parenthesis around (5 + 7x) 45 + 3x + 5 + 7x = 180 Reorder the terms: 45 + 5 + 3x + 7x = 180 Combine like terms: 45 + 5 = 50 50 + 3x + 7x = 180 Combine like terms: 3x + 7x = 10x 50 + 10x = 180 Solving 50 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 10x = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = 180 + -50 10x = 180 + -50 Combine like terms: 180 + -50 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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