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Simplifying -5(x + 5y) + 3(5x + y) = 0 (x * -5 + 5y * -5) + 3(5x + y) = 0 (-5x + -25y) + 3(5x + y) = 0 -5x + -25y + (5x * 3 + y * 3) = 0 -5x + -25y + (15x + 3y) = 0 Reorder the terms: -5x + 15x + -25y + 3y = 0 Combine like terms: -5x + 15x = 10x 10x + -25y + 3y = 0 Combine like terms: -25y + 3y = -22y 10x + -22y = 0 Solving 10x + -22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22y' to each side of the equation. 10x + -22y + 22y = 0 + 22y Combine like terms: -22y + 22y = 0 10x + 0 = 0 + 22y 10x = 0 + 22y Remove the zero: 10x = 22y Divide each side by '10'. x = 2.2y Simplifying x = 2.2y
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