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Simplifying 5(2x + y) + -4(x + -5y) = 0 (2x * 5 + y * 5) + -4(x + -5y) = 0 (10x + 5y) + -4(x + -5y) = 0 10x + 5y + (x * -4 + -5y * -4) = 0 10x + 5y + (-4x + 20y) = 0 Reorder the terms: 10x + -4x + 5y + 20y = 0 Combine like terms: 10x + -4x = 6x 6x + 5y + 20y = 0 Combine like terms: 5y + 20y = 25y 6x + 25y = 0 Solving 6x + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. 6x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 6x + 0 = 0 + -25y 6x = 0 + -25y Remove the zero: 6x = -25y Divide each side by '6'. x = -4.166666667y Simplifying x = -4.166666667y
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