
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 of candies that satisfies the inequalities \( 120 \leq x \leq 150 \). Additionally, 2 candies will remain if they are divided into groups of 5 candies each, and 5 candies will remain if they are divided into groups of 6 candies each. Find the value of \( x \).

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