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Simplifying 8x + 6y + -5(4x + -9y) = 0 8x + 6y + (4x * -5 + -9y * -5) = 0 8x + 6y + (-20x + 45y) = 0 Reorder the terms: 8x + -20x + 6y + 45y = 0 Combine like terms: 8x + -20x = -12x -12x + 6y + 45y = 0 Combine like terms: 6y + 45y = 51y -12x + 51y = 0 Solving -12x + 51y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -12x + 51y + -51y = 0 + -51y Combine like terms: 51y + -51y = 0 -12x + 0 = 0 + -51y -12x = 0 + -51y Remove the zero: -12x = -51y Divide each side by '-12'. x = 4.25y Simplifying x = 4.25y
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