
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
In the equation $\frac{x(x - 2) - (m + 2)}{(x - 2)(m - 2)} = \frac{x}{m}$, find the value of $m$ for which the roots are equal.
**A)** $m = -\frac{1}{2}$  
**B)** $m = 1$  
**C)** $m = 0$  
**D)** $m = -1$  
**E)** $m = -\frac{3}{2}$

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