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Simplifying (85x + -68y) + -1(65x + 39y) = 0 Remove parenthesis around (85x + -68y) 85x + -68y + -1(65x + 39y) = 0 85x + -68y + (65x * -1 + 39y * -1) = 0 85x + -68y + (-65x + -39y) = 0 Reorder the terms: 85x + -65x + -68y + -39y = 0 Combine like terms: 85x + -65x = 20x 20x + -68y + -39y = 0 Combine like terms: -68y + -39y = -107y 20x + -107y = 0 Solving 20x + -107y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '107y' to each side of the equation. 20x + -107y + 107y = 0 + 107y Combine like terms: -107y + 107y = 0 20x + 0 = 0 + 107y 20x = 0 + 107y Remove the zero: 20x = 107y Divide each side by '20'. x = 5.35y Simplifying x = 5.35y
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