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Simplifying 5(2x + -1y) + -2(3y + -5x) = 0 (2x * 5 + -1y * 5) + -2(3y + -5x) = 0 (10x + -5y) + -2(3y + -5x) = 0 Reorder the terms: 10x + -5y + -2(-5x + 3y) = 0 10x + -5y + (-5x * -2 + 3y * -2) = 0 10x + -5y + (10x + -6y) = 0 Reorder the terms: 10x + 10x + -5y + -6y = 0 Combine like terms: 10x + 10x = 20x 20x + -5y + -6y = 0 Combine like terms: -5y + -6y = -11y 20x + -11y = 0 Solving 20x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 20x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 20x + 0 = 0 + 11y 20x = 0 + 11y Remove the zero: 20x = 11y Divide each side by '20'. x = 0.55y Simplifying x = 0.55y
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