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Answer 1

Answer:

x=1

Step-by-step explanation:

Do the reciprocal:

$\dfrac{1}{x}= 2-\dfrac{1}{2-\frac{1}{2-x}}\\\\\\\rightarrow \dfrac{2x-1}{x}=\dfrac{1}{2-\frac{1}{2-x}}$

Again do the reciprocal:

$\dfrac{x}{2x-1}=2-\dfrac{1}{2-x}\\\\\rightarrow \dfrac{3x-2}{2x-1}=\dfrac{1}{2-x}\\\\\rightarrow x=1$

Answer 2

Refer to the above attachments

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Ans is x=1