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Simplifying -6(6x + 5y + -9) = 0 Reorder the terms: -6(-9 + 6x + 5y) = 0 (-9 * -6 + 6x * -6 + 5y * -6) = 0 (54 + -36x + -30y) = 0 Solving 54 + -36x + -30y = 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 + -36x + -54 + -30y = 0 + -54 Reorder the terms: 54 + -54 + -36x + -30y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -36x + -30y = 0 + -54 -36x + -30y = 0 + -54 Combine like terms: 0 + -54 = -54 -36x + -30y = -54 Add '30y' to each side of the equation. -36x + -30y + 30y = -54 + 30y Combine like terms: -30y + 30y = 0 -36x + 0 = -54 + 30y -36x = -54 + 30y Divide each side by '-36'. x = 1.5 + -0.8333333333y Simplifying x = 1.5 + -0.8333333333y
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