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Simplifying 4x + 3y + -9(6x + -5y) = 0 4x + 3y + (6x * -9 + -5y * -9) = 0 4x + 3y + (-54x + 45y) = 0 Reorder the terms: 4x + -54x + 3y + 45y = 0 Combine like terms: 4x + -54x = -50x -50x + 3y + 45y = 0 Combine like terms: 3y + 45y = 48y -50x + 48y = 0 Solving -50x + 48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. -50x + 48y + -48y = 0 + -48y Combine like terms: 48y + -48y = 0 -50x + 0 = 0 + -48y -50x = 0 + -48y Remove the zero: -50x = -48y Divide each side by '-50'. x = 0.96y Simplifying x = 0.96y
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