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Simplifying [9 + -7(x + -5y)] + 8(5x + y) = 0 [9 + (x * -7 + -5y * -7)] + 8(5x + y) = 0 [9 + (-7x + 35y)] + 8(5x + y) = 0 Remove brackets around [9 + -7x + 35y] 9 + -7x + 35y + 8(5x + y) = 0 9 + -7x + 35y + (5x * 8 + y * 8) = 0 9 + -7x + 35y + (40x + 8y) = 0 Reorder the terms: 9 + -7x + 40x + 35y + 8y = 0 Combine like terms: -7x + 40x = 33x 9 + 33x + 35y + 8y = 0 Combine like terms: 35y + 8y = 43y 9 + 33x + 43y = 0 Solving 9 + 33x + 43y = 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 + 33x + -9 + 43y = 0 + -9 Reorder the terms: 9 + -9 + 33x + 43y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 33x + 43y = 0 + -9 33x + 43y = 0 + -9 Combine like terms: 0 + -9 = -9 33x + 43y = -9 Add '-43y' to each side of the equation. 33x + 43y + -43y = -9 + -43y Combine like terms: 43y + -43y = 0 33x + 0 = -9 + -43y 33x = -9 + -43y Divide each side by '33'. x = -0.2727272727 + -1.303030303y Simplifying x = -0.2727272727 + -1.303030303y
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