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Simplifying 9(x + 2y) + 4(x + -6y) = 0 (x * 9 + 2y * 9) + 4(x + -6y) = 0 (9x + 18y) + 4(x + -6y) = 0 9x + 18y + (x * 4 + -6y * 4) = 0 9x + 18y + (4x + -24y) = 0 Reorder the terms: 9x + 4x + 18y + -24y = 0 Combine like terms: 9x + 4x = 13x 13x + 18y + -24y = 0 Combine like terms: 18y + -24y = -6y 13x + -6y = 0 Solving 13x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 13x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 13x + 0 = 0 + 6y 13x = 0 + 6y Remove the zero: 13x = 6y Divide each side by '13'. x = 0.4615384615y Simplifying x = 0.4615384615y
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