
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Here is the process of solving the equation $\frac{1-x}{x-3}=\frac{1}{3-x}-2$ by student Xiaoming.<br/>【Analysis】Multiplying both sides of the equation by $\left(x-3\right)$, we get $1-x=-1-2\ldots $ for the first step.<br/>Solving gives $x=4\ldots $ for the second step.<br/>Checking: when $x=4$, $x-3=4-3=1\neq 0\ldots $ for the third step.<br/>Therefore, the solution to the original fractional equation is $x=4\ldots $ for the fourth step.<br/>① Xiaoming's mistake starts from step______; the reason for the mistake is______;<br/>② The idea of solving fractional equations is to use______ mathematical concept to convert the fractional equation into a polynomial equation.<br/>$A$. geometric interpretation; $B$. specific to general; $C$. transformation; $D$. analogy.<br/>③ Write down the correct process of solving the equation $\frac{1-x}{x-3}=\frac{1}{3-x}-2$.

Present the answer in LaTex format: \boxed{Your answer}
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