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Simplifying 9(x + 6y) + 9(4x + 5y) = 0 (x * 9 + 6y * 9) + 9(4x + 5y) = 0 (9x + 54y) + 9(4x + 5y) = 0 9x + 54y + (4x * 9 + 5y * 9) = 0 9x + 54y + (36x + 45y) = 0 Reorder the terms: 9x + 36x + 54y + 45y = 0 Combine like terms: 9x + 36x = 45x 45x + 54y + 45y = 0 Combine like terms: 54y + 45y = 99y 45x + 99y = 0 Solving 45x + 99y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99y' to each side of the equation. 45x + 99y + -99y = 0 + -99y Combine like terms: 99y + -99y = 0 45x + 0 = 0 + -99y 45x = 0 + -99y Remove the zero: 45x = -99y Divide each side by '45'. x = -2.2y Simplifying x = -2.2y
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