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Simplifying -4(-1y + x) + 5(4x + -5y) = 0 Reorder the terms: -4(x + -1y) + 5(4x + -5y) = 0 (x * -4 + -1y * -4) + 5(4x + -5y) = 0 (-4x + 4y) + 5(4x + -5y) = 0 -4x + 4y + (4x * 5 + -5y * 5) = 0 -4x + 4y + (20x + -25y) = 0 Reorder the terms: -4x + 20x + 4y + -25y = 0 Combine like terms: -4x + 20x = 16x 16x + 4y + -25y = 0 Combine like terms: 4y + -25y = -21y 16x + -21y = 0 Solving 16x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 16x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 16x + 0 = 0 + 21y 16x = 0 + 21y Remove the zero: 16x = 21y Divide each side by '16'. x = 1.3125y Simplifying x = 1.3125y
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