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Simplifying (2x + 20) + (3x + -75) = 180 Reorder the terms: (20 + 2x) + (3x + -75) = 180 Remove parenthesis around (20 + 2x) 20 + 2x + (3x + -75) = 180 Reorder the terms: 20 + 2x + (-75 + 3x) = 180 Remove parenthesis around (-75 + 3x) 20 + 2x + -75 + 3x = 180 Reorder the terms: 20 + -75 + 2x + 3x = 180 Combine like terms: 20 + -75 = -55 -55 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x -55 + 5x = 180 Solving -55 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 5x = 180 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = 180 + 55 5x = 180 + 55 Combine like terms: 180 + 55 = 235 5x = 235 Divide each side by '5'. x = 47 Simplifying x = 47
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