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Simplifying -2(x + 6y) + 4(5x + y) = 0 (x * -2 + 6y * -2) + 4(5x + y) = 0 (-2x + -12y) + 4(5x + y) = 0 -2x + -12y + (5x * 4 + y * 4) = 0 -2x + -12y + (20x + 4y) = 0 Reorder the terms: -2x + 20x + -12y + 4y = 0 Combine like terms: -2x + 20x = 18x 18x + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 18x + -8y = 0 Solving 18x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 18x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 18x + 0 = 0 + 8y 18x = 0 + 8y Remove the zero: 18x = 8y Divide each side by '18'. x = 0.4444444444y Simplifying x = 0.4444444444y
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