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when prove ( x and y ) or ( y and z ) or ( ( not x ) and z ) = x and

when prove
(x and y) or (y and z) or ((not x) and z)= x and y or (not x) and z
using boolean algebra ( not truth table ),
I can't understand (y and x) or (z and (y or not x)) becomes y and x or z and (not x)
what's the reason?

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