
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 same coordinate system, the graphs of $y=2^x$ and $y=\log_2{x}$ intersect with the graph of the linear function $y=-x+b$ at two points. The sum of the x-coordinates of these two intersection points is 6. Find the value of $b$.

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