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Clues/Strategies:

It's recommended to constantly connect segments or mark wherever segments wouldn't exist.

First step: things to look for to start solving the puzzle

Adjacent cells

Notations Situations Results
A0 A0 result
A3* A3 result
A3-1** A3-1 result

Corners

Notations Situations Results
C0 C0 result
C1 C1 result
C2 C2 result
C3 C3 result

Diagonals

Notations Situations Results
D3 D3 result
D3-1 D3-1 result

Continuation: with known line segments/ x's, how to maximize what you can get through deduction

Notations Situations Results
E1 E1-1 E1-2 result
E2 E2 result
E3 E3-1 E3-2
E3-3 E3-4
result
E4 E4-1 E4-2
E4-3 E4-4
result
E5 E5-1 E5-2 result
E6 E6 result
E7 E7 result
E8 E8-1 E8-2 result
E9 E9 result
E10 E10 result
E11 E11-1 E11-2 result
E12 E12 result
E13 E13 result
E14 E14 result

* This would not be true if and only if the loop has two squares.

** This would not be true if and only if the loop has four squares.

Finalization: remember, there's only one loop in the puzzle. As you connect lines, make sure you don't close a loop until the very end.

Advanced Details:

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