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Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step. z(w+x) + wxz + wxyz + wxyz

Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step.

  1. z(w+x) + wxz + wxyz + wxyz
  2. y(xz+xz) + z(x+y)
  3. x(yz + x)(y + z)

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