
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 $x^4 = (x+1)^4 + b_1(x+1)^3 + b_2(x+1)^2 + b_3(x+1) + b_4$, express $b_1$, $b_2$, $b_3$, $b_4$ in terms of the coefficients of the binomial expansion.

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