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Simplifying 6x + 2y + -9(5x + -4y) = 0 6x + 2y + (5x * -9 + -4y * -9) = 0 6x + 2y + (-45x + 36y) = 0 Reorder the terms: 6x + -45x + 2y + 36y = 0 Combine like terms: 6x + -45x = -39x -39x + 2y + 36y = 0 Combine like terms: 2y + 36y = 38y -39x + 38y = 0 Solving -39x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. -39x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 -39x + 0 = 0 + -38y -39x = 0 + -38y Remove the zero: -39x = -38y Divide each side by '-39'. x = 0.9743589744y Simplifying x = 0.9743589744y
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