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Simplifying (13x + 12) + (21x + -2) = 180 Reorder the terms: (12 + 13x) + (21x + -2) = 180 Remove parenthesis around (12 + 13x) 12 + 13x + (21x + -2) = 180 Reorder the terms: 12 + 13x + (-2 + 21x) = 180 Remove parenthesis around (-2 + 21x) 12 + 13x + -2 + 21x = 180 Reorder the terms: 12 + -2 + 13x + 21x = 180 Combine like terms: 12 + -2 = 10 10 + 13x + 21x = 180 Combine like terms: 13x + 21x = 34x 10 + 34x = 180 Solving 10 + 34x = 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 + 34x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 34x = 180 + -10 34x = 180 + -10 Combine like terms: 180 + -10 = 170 34x = 170 Divide each side by '34'. x = 5 Simplifying x = 5
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