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