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Simplifying 6(2x + 4y) + 10(4x + 3y) = 0 (2x * 6 + 4y * 6) + 10(4x + 3y) = 0 (12x + 24y) + 10(4x + 3y) = 0 12x + 24y + (4x * 10 + 3y * 10) = 0 12x + 24y + (40x + 30y) = 0 Reorder the terms: 12x + 40x + 24y + 30y = 0 Combine like terms: 12x + 40x = 52x 52x + 24y + 30y = 0 Combine like terms: 24y + 30y = 54y 52x + 54y = 0 Solving 52x + 54y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54y' to each side of the equation. 52x + 54y + -54y = 0 + -54y Combine like terms: 54y + -54y = 0 52x + 0 = 0 + -54y 52x = 0 + -54y Remove the zero: 52x = -54y Divide each side by '52'. x = -1.038461538y Simplifying x = -1.038461538y
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