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Simplifying -6(x + 4y) + 4(6x + y) = 0 (x * -6 + 4y * -6) + 4(6x + y) = 0 (-6x + -24y) + 4(6x + y) = 0 -6x + -24y + (6x * 4 + y * 4) = 0 -6x + -24y + (24x + 4y) = 0 Reorder the terms: -6x + 24x + -24y + 4y = 0 Combine like terms: -6x + 24x = 18x 18x + -24y + 4y = 0 Combine like terms: -24y + 4y = -20y 18x + -20y = 0 Solving 18x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 18x + -20y + 20y = 0 + 20y Combine like terms: -20y + 20y = 0 18x + 0 = 0 + 20y 18x = 0 + 20y Remove the zero: 18x = 20y Divide each side by '18'. x = 1.111111111y Simplifying x = 1.111111111y
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