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Simplifying (75x + -67y) + -1(58x + 34y) = 0 Remove parenthesis around (75x + -67y) 75x + -67y + -1(58x + 34y) = 0 75x + -67y + (58x * -1 + 34y * -1) = 0 75x + -67y + (-58x + -34y) = 0 Reorder the terms: 75x + -58x + -67y + -34y = 0 Combine like terms: 75x + -58x = 17x 17x + -67y + -34y = 0 Combine like terms: -67y + -34y = -101y 17x + -101y = 0 Solving 17x + -101y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '101y' to each side of the equation. 17x + -101y + 101y = 0 + 101y Combine like terms: -101y + 101y = 0 17x + 0 = 0 + 101y 17x = 0 + 101y Remove the zero: 17x = 101y Divide each side by '17'. x = 5.941176471y Simplifying x = 5.941176471y
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