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Simplifying 5(9x + -6y) + -4(-5x + -3y) = 0 (9x * 5 + -6y * 5) + -4(-5x + -3y) = 0 (45x + -30y) + -4(-5x + -3y) = 0 45x + -30y + (-5x * -4 + -3y * -4) = 0 45x + -30y + (20x + 12y) = 0 Reorder the terms: 45x + 20x + -30y + 12y = 0 Combine like terms: 45x + 20x = 65x 65x + -30y + 12y = 0 Combine like terms: -30y + 12y = -18y 65x + -18y = 0 Solving 65x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 65x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 65x + 0 = 0 + 18y 65x = 0 + 18y Remove the zero: 65x = 18y Divide each side by '65'. x = 0.2769230769y Simplifying x = 0.2769230769y
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