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Simplifying (82x + 83y) + -1(17x + 34y) = 0 Remove parenthesis around (82x + 83y) 82x + 83y + -1(17x + 34y) = 0 82x + 83y + (17x * -1 + 34y * -1) = 0 82x + 83y + (-17x + -34y) = 0 Reorder the terms: 82x + -17x + 83y + -34y = 0 Combine like terms: 82x + -17x = 65x 65x + 83y + -34y = 0 Combine like terms: 83y + -34y = 49y 65x + 49y = 0 Solving 65x + 49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y' to each side of the equation. 65x + 49y + -49y = 0 + -49y Combine like terms: 49y + -49y = 0 65x + 0 = 0 + -49y 65x = 0 + -49y Remove the zero: 65x = -49y Divide each side by '65'. x = -0.7538461538y Simplifying x = -0.7538461538y
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