
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 the equation ${{x}^{5}}+2={{a}_{0}}+{{a}_{1}}(x-1)+{{a}_{2}}{{(x-1)}^{2}}+{{a}_{3}}{{(x-1)}^{3}}+{{a}_{4}}{{(x-1)}^{4}}+{{a}_{5}}{{(x-1)}^{5}}$ holds for any real number $x$, then $a_{1}+a_{2}+a_{3}+a_{4}+a_{5}=$ ______.

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