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Simplifying [12 + -6(x + -5y)] + 9(8x + y) = 0 [12 + (x * -6 + -5y * -6)] + 9(8x + y) = 0 [12 + (-6x + 30y)] + 9(8x + y) = 0 Remove brackets around [12 + -6x + 30y] 12 + -6x + 30y + 9(8x + y) = 0 12 + -6x + 30y + (8x * 9 + y * 9) = 0 12 + -6x + 30y + (72x + 9y) = 0 Reorder the terms: 12 + -6x + 72x + 30y + 9y = 0 Combine like terms: -6x + 72x = 66x 12 + 66x + 30y + 9y = 0 Combine like terms: 30y + 9y = 39y 12 + 66x + 39y = 0 Solving 12 + 66x + 39y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 66x + -12 + 39y = 0 + -12 Reorder the terms: 12 + -12 + 66x + 39y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 66x + 39y = 0 + -12 66x + 39y = 0 + -12 Combine like terms: 0 + -12 = -12 66x + 39y = -12 Add '-39y' to each side of the equation. 66x + 39y + -39y = -12 + -39y Combine like terms: 39y + -39y = 0 66x + 0 = -12 + -39y 66x = -12 + -39y Divide each side by '66'. x = -0.1818181818 + -0.5909090909y Simplifying x = -0.1818181818 + -0.5909090909y
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