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Simplifying (75x + -68y) + -1(69x + 33y) = 0 Remove parenthesis around (75x + -68y) 75x + -68y + -1(69x + 33y) = 0 75x + -68y + (69x * -1 + 33y * -1) = 0 75x + -68y + (-69x + -33y) = 0 Reorder the terms: 75x + -69x + -68y + -33y = 0 Combine like terms: 75x + -69x = 6x 6x + -68y + -33y = 0 Combine like terms: -68y + -33y = -101y 6x + -101y = 0 Solving 6x + -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. 6x + -101y + 101y = 0 + 101y Combine like terms: -101y + 101y = 0 6x + 0 = 0 + 101y 6x = 0 + 101y Remove the zero: 6x = 101y Divide each side by '6'. x = 16.83333333y Simplifying x = 16.83333333y
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