
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
Given $C_{17}^{2x} + C_{17}^{2x+1} = C_{18}^{9}$, find the value of $C_{x}^{1} + C_{x}^{2} + \ldots + C_{x}^{x}$.

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