
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
Solve the following equation, where \( b \) and \( n \) are natural numbers and \( b > n \):

$$
\frac{x-(b-1)}{1}+\frac{x-(b-2)}{2}+\frac{x-(b-3)}{3}+\ldots+\frac{x-(b-n)}{n}=\frac{x-1}{b-1}+\frac{x-2}{b-2}+\frac{x-3}{b-3}+\ldots+\frac{x-n}{b-n}
$$

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