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Simplifying [11 + -7(x + -2y)] + 8(5x + y) = 0 [11 + (x * -7 + -2y * -7)] + 8(5x + y) = 0 [11 + (-7x + 14y)] + 8(5x + y) = 0 Remove brackets around [11 + -7x + 14y] 11 + -7x + 14y + 8(5x + y) = 0 11 + -7x + 14y + (5x * 8 + y * 8) = 0 11 + -7x + 14y + (40x + 8y) = 0 Reorder the terms: 11 + -7x + 40x + 14y + 8y = 0 Combine like terms: -7x + 40x = 33x 11 + 33x + 14y + 8y = 0 Combine like terms: 14y + 8y = 22y 11 + 33x + 22y = 0 Solving 11 + 33x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 33x + -11 + 22y = 0 + -11 Reorder the terms: 11 + -11 + 33x + 22y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 33x + 22y = 0 + -11 33x + 22y = 0 + -11 Combine like terms: 0 + -11 = -11 33x + 22y = -11 Add '-22y' to each side of the equation. 33x + 22y + -22y = -11 + -22y Combine like terms: 22y + -22y = 0 33x + 0 = -11 + -22y 33x = -11 + -22y Divide each side by '33'. x = -0.3333333333 + -0.6666666667y Simplifying x = -0.3333333333 + -0.6666666667y
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