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Simplifying 9(3x + -6 + 5y) = 0 Reorder the terms: 9(-6 + 3x + 5y) = 0 (-6 * 9 + 3x * 9 + 5y * 9) = 0 (-54 + 27x + 45y) = 0 Solving -54 + 27x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 27x + 54 + 45y = 0 + 54 Reorder the terms: -54 + 54 + 27x + 45y = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 27x + 45y = 0 + 54 27x + 45y = 0 + 54 Combine like terms: 0 + 54 = 54 27x + 45y = 54 Add '-45y' to each side of the equation. 27x + 45y + -45y = 54 + -45y Combine like terms: 45y + -45y = 0 27x + 0 = 54 + -45y 27x = 54 + -45y Divide each side by '27'. x = 2 + -1.666666667y Simplifying x = 2 + -1.666666667y
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