
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 that $(x+2)^{8}=a\_{0}+a\_{1}(x+1)+a\_{2}(x+1)^{2}+…+a\_{8}(x+1)^{8}$, where $a\_{i}=(i=0,1,2…8)$ are real constants, find the value of $a\_{1}+2a\_{2}+…+7a\_{7}+8a\_{8}$.

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