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https://steamcommunity.com/sharedfiles/filedetails/?id=3227764562
In the screenshot I posted(ignore the hint numbers), I'll try to explain from top to bottom for the 4th row of your puzzle:
1. Current state of your filled block/4th row.
2. According to what you thought, the filled block CAN be solo [1] block, ...
3. ...and it CAN be [2] block too. (filled to the right.)
4. But if the [2] block was filled to the left, three of the [1] blocks won't fit.
5. So we know the filled block will be either [1] or [2], but we know in either case, the block on left of the filled block cannot be filled (have to be crossed).
Hope you can understand my explanation. :)
To clear the confusion, I just picked a random 10x10 question as a drawing board to explain only the 4th row of your puzzle(#014).
Blue highlight means the row/column can be either filled OR crossed, not just filled only. Crossing is considered as "adding something" as well.
For current state of your puzzle in the screenshot, we can only determine the filled block in 4th row is either [1] or [2], and we'll have to keep solving other area to find out whether it is [1] or [2].
In the video, you can notice I can only determine whether it's [1] or [2] (in 4th row) until I'm halfway through the puzzle.
Most of the time you have to rely on other filled row/column to solve, not just solely the hint number on the same row/column you are solving.
I appreciate efforts to help, but it's clear my question isn't really going across. Thank you all for wanting to help, I do appreciate it, but I already know everything I've been told in response.
Because if the filled in square in this row is:
a 1: it has to be an X
a 2 extending to the right: it has to be an X
a 2 extending to the left: impossible (not enough room for the other 1's in this situation)
This is why the square to the left of the filled in square in row 4 has to be an X, and can never be filled in. This knowledge should allow you to solve the puzzle, as I was able to.
I'll try to attach my screenshot where I show what I mean. Rows 6 and 7 show the possible right-hand arrangements and to the left are two possible solutions. Row 9 shows that there is only space for at most 2 single squares if the 2-rectangle is any further left.
I hope this helps!
https://steamcommunity.com/id/gravitas17/screenshot/2508017401747002295/
Edit: and if you only put an X in col 6 row 4 then row 4 will stop being blue as you are correct, at that point all we can say is there is an empty cell there.