
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 mathematician Hua Luogeng once said: "When a numerical problem lacks geometric representation, it falls short on intuition, but when geometry lacks numerical analysis, it becomes difficult to delve into details." Indeed, many algebra problems can be transformed into geometric ones for resolution. For example, algebraic problems involving $$\sqrt {(x-a)^{2}+(y-b)^{2}}$$ can be transformed into geometric problems about the distance between point A $(x, y)$ and point B $(a, b)$. Following this concept, we can find the solution of the equation $$|\sqrt {x^{2}+8x+20} + \sqrt {x^{2}-2x+2}| = \sqrt {26}$$ as ______.

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