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Simplifying 4(X + -2y) + 3(X + -1y) = 0 (X * 4 + -2y * 4) + 3(X + -1y) = 0 (4X + -8y) + 3(X + -1y) = 0 4X + -8y + (X * 3 + -1y * 3) = 0 4X + -8y + (3X + -3y) = 0 Reorder the terms: 4X + 3X + -8y + -3y = 0 Combine like terms: 4X + 3X = 7X 7X + -8y + -3y = 0 Combine like terms: -8y + -3y = -11y 7X + -11y = 0 Solving 7X + -11y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11y' to each side of the equation. 7X + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 7X + 0 = 0 + 11y 7X = 0 + 11y Remove the zero: 7X = 11y Divide each side by '7'. X = 1.571428571y Simplifying X = 1.571428571y
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