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Simplifying (5x + 38) + (12x + -28) = 180 Reorder the terms: (38 + 5x) + (12x + -28) = 180 Remove parenthesis around (38 + 5x) 38 + 5x + (12x + -28) = 180 Reorder the terms: 38 + 5x + (-28 + 12x) = 180 Remove parenthesis around (-28 + 12x) 38 + 5x + -28 + 12x = 180 Reorder the terms: 38 + -28 + 5x + 12x = 180 Combine like terms: 38 + -28 = 10 10 + 5x + 12x = 180 Combine like terms: 5x + 12x = 17x 10 + 17x = 180 Solving 10 + 17x = 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 + 17x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 180 + -10 17x = 180 + -10 Combine like terms: 180 + -10 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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