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Simplifying [11 + -6(x + -2y)] + 9(7x + y) = 0 [11 + (x * -6 + -2y * -6)] + 9(7x + y) = 0 [11 + (-6x + 12y)] + 9(7x + y) = 0 Remove brackets around [11 + -6x + 12y] 11 + -6x + 12y + 9(7x + y) = 0 11 + -6x + 12y + (7x * 9 + y * 9) = 0 11 + -6x + 12y + (63x + 9y) = 0 Reorder the terms: 11 + -6x + 63x + 12y + 9y = 0 Combine like terms: -6x + 63x = 57x 11 + 57x + 12y + 9y = 0 Combine like terms: 12y + 9y = 21y 11 + 57x + 21y = 0 Solving 11 + 57x + 21y = 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 + 57x + -11 + 21y = 0 + -11 Reorder the terms: 11 + -11 + 57x + 21y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 57x + 21y = 0 + -11 57x + 21y = 0 + -11 Combine like terms: 0 + -11 = -11 57x + 21y = -11 Add '-21y' to each side of the equation. 57x + 21y + -21y = -11 + -21y Combine like terms: 21y + -21y = 0 57x + 0 = -11 + -21y 57x = -11 + -21y Divide each side by '57'. x = -0.1929824561 + -0.3684210526y Simplifying x = -0.1929824561 + -0.3684210526y
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