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Simplifying 6(x + -1y) + 5(2y + x) = 0 (x * 6 + -1y * 6) + 5(2y + x) = 0 (6x + -6y) + 5(2y + x) = 0 Reorder the terms: 6x + -6y + 5(x + 2y) = 0 6x + -6y + (x * 5 + 2y * 5) = 0 6x + -6y + (5x + 10y) = 0 Reorder the terms: 6x + 5x + -6y + 10y = 0 Combine like terms: 6x + 5x = 11x 11x + -6y + 10y = 0 Combine like terms: -6y + 10y = 4y 11x + 4y = 0 Solving 11x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 11x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 11x + 0 = 0 + -4y 11x = 0 + -4y Remove the zero: 11x = -4y Divide each side by '11'. x = -0.3636363636y Simplifying x = -0.3636363636y
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