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Simplifying [9 + -8(x + -5y)] + 9(8x + y) = 0 [9 + (x * -8 + -5y * -8)] + 9(8x + y) = 0 [9 + (-8x + 40y)] + 9(8x + y) = 0 Remove brackets around [9 + -8x + 40y] 9 + -8x + 40y + 9(8x + y) = 0 9 + -8x + 40y + (8x * 9 + y * 9) = 0 9 + -8x + 40y + (72x + 9y) = 0 Reorder the terms: 9 + -8x + 72x + 40y + 9y = 0 Combine like terms: -8x + 72x = 64x 9 + 64x + 40y + 9y = 0 Combine like terms: 40y + 9y = 49y 9 + 64x + 49y = 0 Solving 9 + 64x + 49y = 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 + 64x + -9 + 49y = 0 + -9 Reorder the terms: 9 + -9 + 64x + 49y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 64x + 49y = 0 + -9 64x + 49y = 0 + -9 Combine like terms: 0 + -9 = -9 64x + 49y = -9 Add '-49y' to each side of the equation. 64x + 49y + -49y = -9 + -49y Combine like terms: 49y + -49y = 0 64x + 0 = -9 + -49y 64x = -9 + -49y Divide each side by '64'. x = -0.140625 + -0.765625y Simplifying x = -0.140625 + -0.765625y
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