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Simplifying -6(x + 6y) + 5(6x + y) = 0 (x * -6 + 6y * -6) + 5(6x + y) = 0 (-6x + -36y) + 5(6x + y) = 0 -6x + -36y + (6x * 5 + y * 5) = 0 -6x + -36y + (30x + 5y) = 0 Reorder the terms: -6x + 30x + -36y + 5y = 0 Combine like terms: -6x + 30x = 24x 24x + -36y + 5y = 0 Combine like terms: -36y + 5y = -31y 24x + -31y = 0 Solving 24x + -31y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31y' to each side of the equation. 24x + -31y + 31y = 0 + 31y Combine like terms: -31y + 31y = 0 24x + 0 = 0 + 31y 24x = 0 + 31y Remove the zero: 24x = 31y Divide each side by '24'. x = 1.291666667y Simplifying x = 1.291666667y
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