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Simplifying 3x + 4y + -9(6x + -9y) = 0 3x + 4y + (6x * -9 + -9y * -9) = 0 3x + 4y + (-54x + 81y) = 0 Reorder the terms: 3x + -54x + 4y + 81y = 0 Combine like terms: 3x + -54x = -51x -51x + 4y + 81y = 0 Combine like terms: 4y + 81y = 85y -51x + 85y = 0 Solving -51x + 85y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85y' to each side of the equation. -51x + 85y + -85y = 0 + -85y Combine like terms: 85y + -85y = 0 -51x + 0 = 0 + -85y -51x = 0 + -85y Remove the zero: -51x = -85y Divide each side by '-51'. x = 1.666666667y Simplifying x = 1.666666667y
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