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Simplifying [9 + -8(x + -5y)] + 10(7x + y) = 0 [9 + (x * -8 + -5y * -8)] + 10(7x + y) = 0 [9 + (-8x + 40y)] + 10(7x + y) = 0 Remove brackets around [9 + -8x + 40y] 9 + -8x + 40y + 10(7x + y) = 0 9 + -8x + 40y + (7x * 10 + y * 10) = 0 9 + -8x + 40y + (70x + 10y) = 0 Reorder the terms: 9 + -8x + 70x + 40y + 10y = 0 Combine like terms: -8x + 70x = 62x 9 + 62x + 40y + 10y = 0 Combine like terms: 40y + 10y = 50y 9 + 62x + 50y = 0 Solving 9 + 62x + 50y = 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 + 62x + -9 + 50y = 0 + -9 Reorder the terms: 9 + -9 + 62x + 50y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 62x + 50y = 0 + -9 62x + 50y = 0 + -9 Combine like terms: 0 + -9 = -9 62x + 50y = -9 Add '-50y' to each side of the equation. 62x + 50y + -50y = -9 + -50y Combine like terms: 50y + -50y = 0 62x + 0 = -9 + -50y 62x = -9 + -50y Divide each side by '62'. x = -0.1451612903 + -0.8064516129y Simplifying x = -0.1451612903 + -0.8064516129y
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