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Simplifying (12x + 17) + (13x + -78) = 180 Reorder the terms: (17 + 12x) + (13x + -78) = 180 Remove parenthesis around (17 + 12x) 17 + 12x + (13x + -78) = 180 Reorder the terms: 17 + 12x + (-78 + 13x) = 180 Remove parenthesis around (-78 + 13x) 17 + 12x + -78 + 13x = 180 Reorder the terms: 17 + -78 + 12x + 13x = 180 Combine like terms: 17 + -78 = -61 -61 + 12x + 13x = 180 Combine like terms: 12x + 13x = 25x -61 + 25x = 180 Solving -61 + 25x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 25x = 180 + 61 Combine like terms: -61 + 61 = 0 0 + 25x = 180 + 61 25x = 180 + 61 Combine like terms: 180 + 61 = 241 25x = 241 Divide each side by '25'. x = 9.64 Simplifying x = 9.64
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