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Simplifying 2(5x + 2y) + 5(2x + 10y) = 0 (5x * 2 + 2y * 2) + 5(2x + 10y) = 0 (10x + 4y) + 5(2x + 10y) = 0 10x + 4y + (2x * 5 + 10y * 5) = 0 10x + 4y + (10x + 50y) = 0 Reorder the terms: 10x + 10x + 4y + 50y = 0 Combine like terms: 10x + 10x = 20x 20x + 4y + 50y = 0 Combine like terms: 4y + 50y = 54y 20x + 54y = 0 Solving 20x + 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. 20x + 54y + -54y = 0 + -54y Combine like terms: 54y + -54y = 0 20x + 0 = 0 + -54y 20x = 0 + -54y Remove the zero: 20x = -54y Divide each side by '20'. x = -2.7y Simplifying x = -2.7y
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