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Simplifying -4(x + 5y) + 6(5x + y) = 0 (x * -4 + 5y * -4) + 6(5x + y) = 0 (-4x + -20y) + 6(5x + y) = 0 -4x + -20y + (5x * 6 + y * 6) = 0 -4x + -20y + (30x + 6y) = 0 Reorder the terms: -4x + 30x + -20y + 6y = 0 Combine like terms: -4x + 30x = 26x 26x + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 26x + -14y = 0 Solving 26x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 26x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 26x + 0 = 0 + 14y 26x = 0 + 14y Remove the zero: 26x = 14y Divide each side by '26'. x = 0.5384615385y Simplifying x = 0.5384615385y
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