
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
Matilda has scores of $92, 88, 74, 65, 80$ on her first five tests. Let $x$ be the score of her sixth test. Determine the minimum value of $x$ such that her average score for all six tests is $5$ points higher than the average of her first five test scores.

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