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Simplifying 10(5x + -9y) + -1(2x + -4y) = 0 (5x * 10 + -9y * 10) + -1(2x + -4y) = 0 (50x + -90y) + -1(2x + -4y) = 0 50x + -90y + (2x * -1 + -4y * -1) = 0 50x + -90y + (-2x + 4y) = 0 Reorder the terms: 50x + -2x + -90y + 4y = 0 Combine like terms: 50x + -2x = 48x 48x + -90y + 4y = 0 Combine like terms: -90y + 4y = -86y 48x + -86y = 0 Solving 48x + -86y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86y' to each side of the equation. 48x + -86y + 86y = 0 + 86y Combine like terms: -86y + 86y = 0 48x + 0 = 0 + 86y 48x = 0 + 86y Remove the zero: 48x = 86y Divide each side by '48'. x = 1.791666667y Simplifying x = 1.791666667y
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