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Simplifying (3x + 7) + (10x + -22) = 180 Reorder the terms: (7 + 3x) + (10x + -22) = 180 Remove parenthesis around (7 + 3x) 7 + 3x + (10x + -22) = 180 Reorder the terms: 7 + 3x + (-22 + 10x) = 180 Remove parenthesis around (-22 + 10x) 7 + 3x + -22 + 10x = 180 Reorder the terms: 7 + -22 + 3x + 10x = 180 Combine like terms: 7 + -22 = -15 -15 + 3x + 10x = 180 Combine like terms: 3x + 10x = 13x -15 + 13x = 180 Solving -15 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 180 + 15 13x = 180 + 15 Combine like terms: 180 + 15 = 195 13x = 195 Divide each side by '13'. x = 15 Simplifying x = 15
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