
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 $(1+2x)^{2018}=a_{0}+a_{1}(x+1)+a_{2}(x+1)^{2}+…+a_{2017}(x+1)^{2017}+a_{2018}(x+1)^{2018}$ (where $x\in\mathbb{R}$), find the value of $a_0+a_1+2a_2+3a_3+…+2017a_{2017}+2018a_{2018}$.

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