
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
Find all the integers  $x$  in  $[20, 50]$  such that  $6x + 5 \equiv -19 \mod 10,$  that is,  $10$  divides  $(6x + 15) + 19.$ 

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