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Simplifying (13x + 12) + (17x + 5) = 0 Reorder the terms: (12 + 13x) + (17x + 5) = 0 Remove parenthesis around (12 + 13x) 12 + 13x + (17x + 5) = 0 Reorder the terms: 12 + 13x + (5 + 17x) = 0 Remove parenthesis around (5 + 17x) 12 + 13x + 5 + 17x = 0 Reorder the terms: 12 + 5 + 13x + 17x = 0 Combine like terms: 12 + 5 = 17 17 + 13x + 17x = 0 Combine like terms: 13x + 17x = 30x 17 + 30x = 0 Solving 17 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 30x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 30x = 0 + -17 30x = 0 + -17 Combine like terms: 0 + -17 = -17 30x = -17 Divide each side by '30'. x = -0.5666666667 Simplifying x = -0.5666666667
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