
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
Determine the sum $A + B + C + D + E$ where $A, B, C, D, E$ are constants such that:
\[\frac{x+1}{(x+2)(x+3)(x+4)(x+5)(x+6)} = \frac{A}{x+2} + \frac{B}{x+3} + \frac{C}{x+4} + \frac{D}{x+5} + \frac{E}{x+6}\]

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