
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
In the equation \(2bx + b = 3cx + c\), \(b\) and \(c\) can each take any of the values \(1, 2, 3, 4, 5, 6\). How many cases will there be where the solution to the equation is positive?

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