Complex sentence: Symmetries are mathematical transformations that leave the general form of equations unchanged and are of prime importance in physics: symmetries give rise to conservation laws and are closely connected with the hypothesis that certain physical properties cannot be detected and are unobservable.
Split into simpler sentences: Symmetries are mathematical transformations that leave the general form of equations unchanged and give rise to conservation laws. They are are closely connected with the hypothesis that certain physical properties cannot be detected and are unobservable.