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Simplifying (13x + 10) + (12x + 20) = 180 Reorder the terms: (10 + 13x) + (12x + 20) = 180 Remove parenthesis around (10 + 13x) 10 + 13x + (12x + 20) = 180 Reorder the terms: 10 + 13x + (20 + 12x) = 180 Remove parenthesis around (20 + 12x) 10 + 13x + 20 + 12x = 180 Reorder the terms: 10 + 20 + 13x + 12x = 180 Combine like terms: 10 + 20 = 30 30 + 13x + 12x = 180 Combine like terms: 13x + 12x = 25x 30 + 25x = 180 Solving 30 + 25x = 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 + 25x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 25x = 180 + -30 25x = 180 + -30 Combine like terms: 180 + -30 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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