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Simplifying (3x + 12) + (2x + -22) = 180 Reorder the terms: (12 + 3x) + (2x + -22) = 180 Remove parenthesis around (12 + 3x) 12 + 3x + (2x + -22) = 180 Reorder the terms: 12 + 3x + (-22 + 2x) = 180 Remove parenthesis around (-22 + 2x) 12 + 3x + -22 + 2x = 180 Reorder the terms: 12 + -22 + 3x + 2x = 180 Combine like terms: 12 + -22 = -10 -10 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x -10 + 5x = 180 Solving -10 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 180 + 10 5x = 180 + 10 Combine like terms: 180 + 10 = 190 5x = 190 Divide each side by '5'. x = 38 Simplifying x = 38
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