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Simplifying [9 + -6(x + -4y)] + 9(4x + y) = 0 [9 + (x * -6 + -4y * -6)] + 9(4x + y) = 0 [9 + (-6x + 24y)] + 9(4x + y) = 0 Remove brackets around [9 + -6x + 24y] 9 + -6x + 24y + 9(4x + y) = 0 9 + -6x + 24y + (4x * 9 + y * 9) = 0 9 + -6x + 24y + (36x + 9y) = 0 Reorder the terms: 9 + -6x + 36x + 24y + 9y = 0 Combine like terms: -6x + 36x = 30x 9 + 30x + 24y + 9y = 0 Combine like terms: 24y + 9y = 33y 9 + 30x + 33y = 0 Solving 9 + 30x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 30x + -9 + 33y = 0 + -9 Reorder the terms: 9 + -9 + 30x + 33y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 30x + 33y = 0 + -9 30x + 33y = 0 + -9 Combine like terms: 0 + -9 = -9 30x + 33y = -9 Add '-33y' to each side of the equation. 30x + 33y + -33y = -9 + -33y Combine like terms: 33y + -33y = 0 30x + 0 = -9 + -33y 30x = -9 + -33y Divide each side by '30'. x = -0.3 + -1.1y Simplifying x = -0.3 + -1.1y
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