
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 a two-digit number, let $x$ be the tens digit and $y$ be the ones digit. Form the equation involving the two-digit number $10x+y$ and its reverse $10y+x$, such that their difference is 7 times the sum of the digits of either number.

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