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Simplifying 9(5x + -2y) + -6(3x + -2y) = 0 (5x * 9 + -2y * 9) + -6(3x + -2y) = 0 (45x + -18y) + -6(3x + -2y) = 0 45x + -18y + (3x * -6 + -2y * -6) = 0 45x + -18y + (-18x + 12y) = 0 Reorder the terms: 45x + -18x + -18y + 12y = 0 Combine like terms: 45x + -18x = 27x 27x + -18y + 12y = 0 Combine like terms: -18y + 12y = -6y 27x + -6y = 0 Solving 27x + -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. 27x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 27x + 0 = 0 + 6y 27x = 0 + 6y Remove the zero: 27x = 6y Divide each side by '27'. x = 0.2222222222y Simplifying x = 0.2222222222y
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