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Simplifying (5x + 15) + (x + 20) + (4x + -5) = 180 Reorder the terms: (15 + 5x) + (x + 20) + (4x + -5) = 180 Remove parenthesis around (15 + 5x) 15 + 5x + (x + 20) + (4x + -5) = 180 Reorder the terms: 15 + 5x + (20 + x) + (4x + -5) = 180 Remove parenthesis around (20 + x) 15 + 5x + 20 + x + (4x + -5) = 180 Reorder the terms: 15 + 5x + 20 + x + (-5 + 4x) = 180 Remove parenthesis around (-5 + 4x) 15 + 5x + 20 + x + -5 + 4x = 180 Reorder the terms: 15 + 20 + -5 + 5x + x + 4x = 180 Combine like terms: 15 + 20 = 35 35 + -5 + 5x + x + 4x = 180 Combine like terms: 35 + -5 = 30 30 + 5x + x + 4x = 180 Combine like terms: 5x + x = 6x 30 + 6x + 4x = 180 Combine like terms: 6x + 4x = 10x 30 + 10x = 180 Solving 30 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 180 + -30 10x = 180 + -30 Combine like terms: 180 + -30 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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