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Simplifying 4x + y + 7(x + 3y) = 0 4x + y + (x * 7 + 3y * 7) = 0 4x + y + (7x + 21y) = 0 Reorder the terms: 4x + 7x + y + 21y = 0 Combine like terms: 4x + 7x = 11x 11x + y + 21y = 0 Combine like terms: y + 21y = 22y 11x + 22y = 0 Solving 11x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 11x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 11x + 0 = 0 + -22y 11x = 0 + -22y Remove the zero: 11x = -22y Divide each side by '11'. x = -2y Simplifying x = -2y
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