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Simplifying [10 + -8(x + -3y)] + 9(8x + y) = 0 [10 + (x * -8 + -3y * -8)] + 9(8x + y) = 0 [10 + (-8x + 24y)] + 9(8x + y) = 0 Remove brackets around [10 + -8x + 24y] 10 + -8x + 24y + 9(8x + y) = 0 10 + -8x + 24y + (8x * 9 + y * 9) = 0 10 + -8x + 24y + (72x + 9y) = 0 Reorder the terms: 10 + -8x + 72x + 24y + 9y = 0 Combine like terms: -8x + 72x = 64x 10 + 64x + 24y + 9y = 0 Combine like terms: 24y + 9y = 33y 10 + 64x + 33y = 0 Solving 10 + 64x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 64x + -10 + 33y = 0 + -10 Reorder the terms: 10 + -10 + 64x + 33y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 64x + 33y = 0 + -10 64x + 33y = 0 + -10 Combine like terms: 0 + -10 = -10 64x + 33y = -10 Add '-33y' to each side of the equation. 64x + 33y + -33y = -10 + -33y Combine like terms: 33y + -33y = 0 64x + 0 = -10 + -33y 64x = -10 + -33y Divide each side by '64'. x = -0.15625 + -0.515625y Simplifying x = -0.15625 + -0.515625y
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