
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
Megan and Shana race against each other with the winner of each race receiving \( x \) gold coins and the loser receiving \( y \) gold coins. After several races, Megan has 42 coins and Shana has 35 coins. Shana has won exactly 2 races. Find the value of \( x \).

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