Here is a video guide walkthrough for the puzzle titled "An Escalating Problem" in The Talos Principle.
This was the first moderately challenging level. Sort of requires you to rethink your approach to using the spheres to do things. The main thing to know here is that the black spheres will destroy the minigun turrets when they come into contact with each other. The sphere will be destroyed in the process. With this in mind, you should be able to solve this puzzle.
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