
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
Let $x$ be the number Cindy starts with. Cindy mistakenly subtracts 7 from $x$ to get $x-7$ and then divides to get $\frac{x-7}{5}=27$. If Cindy had followed the instructions correctly, she would have subtracted 5 from $x$ to get $x-5$ and then divided to get $\frac{x-5}{7}$. Find the value of $x-5$.

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