Prove identity $x^{\text{'}}+x*Y+x*Z^{\text{'}}+x*Y^{\text{'}}*Z^{\text{'}}=x^{\text{'}}+Y+Z^{\text{'}}$ using algebraic simplification. Indicate in step$-$by$-$step

fashion which theorems have been used during the process.

Obtain the truth table of the following function and express it in sum of minterms.

$Y^{\text{'}}*Z+W*x*Y^{\text{'}}+W*x*Z^{\text{'}}+W^{\text{'}}*x^{\text{'}}*Z$