
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
The points scored from three-point shots were twice the points scored from two-point shots. Let the points scored from two-point shots be $2x$ and from three-point shots be $2(2x) = 4x$.
The number of successful free throws was twice the number of successful two-point shots minus one, so the number of successful free throws was $2x-1$.
The team's total score was $71$ points. What is the number of successful free throws?

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