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Simplifying 4(3X + -1y) + -1(X + -1y) = 0 (3X * 4 + -1y * 4) + -1(X + -1y) = 0 (12X + -4y) + -1(X + -1y) = 0 12X + -4y + (X * -1 + -1y * -1) = 0 12X + -4y + (-1X + 1y) = 0 Reorder the terms: 12X + -1X + -4y + 1y = 0 Combine like terms: 12X + -1X = 11X 11X + -4y + 1y = 0 Combine like terms: -4y + 1y = -3y 11X + -3y = 0 Solving 11X + -3y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3y' to each side of the equation. 11X + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 11X + 0 = 0 + 3y 11X = 0 + 3y Remove the zero: 11X = 3y Divide each side by '11'. X = 0.2727272727y Simplifying X = 0.2727272727y
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