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Simplifying 2x + 9y + -8(7x + -9y) = 0 2x + 9y + (7x * -8 + -9y * -8) = 0 2x + 9y + (-56x + 72y) = 0 Reorder the terms: 2x + -56x + 9y + 72y = 0 Combine like terms: 2x + -56x = -54x -54x + 9y + 72y = 0 Combine like terms: 9y + 72y = 81y -54x + 81y = 0 Solving -54x + 81y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81y' to each side of the equation. -54x + 81y + -81y = 0 + -81y Combine like terms: 81y + -81y = 0 -54x + 0 = 0 + -81y -54x = 0 + -81y Remove the zero: -54x = -81y Divide each side by '-54'. x = 1.5y Simplifying x = 1.5y
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