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Simplifying (3x + -15) + (2x + 10) = 180 Reorder the terms: (-15 + 3x) + (2x + 10) = 180 Remove parenthesis around (-15 + 3x) -15 + 3x + (2x + 10) = 180 Reorder the terms: -15 + 3x + (10 + 2x) = 180 Remove parenthesis around (10 + 2x) -15 + 3x + 10 + 2x = 180 Reorder the terms: -15 + 10 + 3x + 2x = 180 Combine like terms: -15 + 10 = -5 -5 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x -5 + 5x = 180 Solving -5 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 180 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 180 + 5 5x = 180 + 5 Combine like terms: 180 + 5 = 185 5x = 185 Divide each side by '5'. x = 37 Simplifying x = 37
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