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Simplifying (3x + -45) + (2x + 15) = 180 Reorder the terms: (-45 + 3x) + (2x + 15) = 180 Remove parenthesis around (-45 + 3x) -45 + 3x + (2x + 15) = 180 Reorder the terms: -45 + 3x + (15 + 2x) = 180 Remove parenthesis around (15 + 2x) -45 + 3x + 15 + 2x = 180 Reorder the terms: -45 + 15 + 3x + 2x = 180 Combine like terms: -45 + 15 = -30 -30 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x -30 + 5x = 180 Solving -30 + 5x = 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 + 5x = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 180 + 30 5x = 180 + 30 Combine like terms: 180 + 30 = 210 5x = 210 Divide each side by '5'. x = 42 Simplifying x = 42
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