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Simplifying (3x + 45) + (2x + -30) + (5x + -75) = 180 Reorder the terms: (45 + 3x) + (2x + -30) + (5x + -75) = 180 Remove parenthesis around (45 + 3x) 45 + 3x + (2x + -30) + (5x + -75) = 180 Reorder the terms: 45 + 3x + (-30 + 2x) + (5x + -75) = 180 Remove parenthesis around (-30 + 2x) 45 + 3x + -30 + 2x + (5x + -75) = 180 Reorder the terms: 45 + 3x + -30 + 2x + (-75 + 5x) = 180 Remove parenthesis around (-75 + 5x) 45 + 3x + -30 + 2x + -75 + 5x = 180 Reorder the terms: 45 + -30 + -75 + 3x + 2x + 5x = 180 Combine like terms: 45 + -30 = 15 15 + -75 + 3x + 2x + 5x = 180 Combine like terms: 15 + -75 = -60 -60 + 3x + 2x + 5x = 180 Combine like terms: 3x + 2x = 5x -60 + 5x + 5x = 180 Combine like terms: 5x + 5x = 10x -60 + 10x = 180 Solving -60 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 10x = 180 + 60 Combine like terms: -60 + 60 = 0 0 + 10x = 180 + 60 10x = 180 + 60 Combine like terms: 180 + 60 = 240 10x = 240 Divide each side by '10'. x = 24 Simplifying x = 24
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