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Simplifying 5(2x + -1y) + -1(5x + 4y) = 0 (2x * 5 + -1y * 5) + -1(5x + 4y) = 0 (10x + -5y) + -1(5x + 4y) = 0 10x + -5y + (5x * -1 + 4y * -1) = 0 10x + -5y + (-5x + -4y) = 0 Reorder the terms: 10x + -5x + -5y + -4y = 0 Combine like terms: 10x + -5x = 5x 5x + -5y + -4y = 0 Combine like terms: -5y + -4y = -9y 5x + -9y = 0 Solving 5x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 5x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 5x + 0 = 0 + 9y 5x = 0 + 9y Remove the zero: 5x = 9y Divide each side by '5'. x = 1.8y Simplifying x = 1.8y
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