I would like to have a step-by-step simplification of this boolean expression $\bar{x}\bar{y}\bar{z}\bar{w}+\bar{x}\bar{y}z\bar{w}+\bar{x}yz\bar{w}+\bar{x}yzw+x\bar{y}\bar{z}\bar{w}+x\bar{y}z\bar{w}+x\bar{y}zw+xy\bar{z}w+xyzw? $
I have done:
$\bar{x}\bar{y}\bar{w}(\bar{z}+z)+\bar{x}yz(\bar{w}+w)+x\bar{y}\bar{z}\bar{w}+x\bar{y}z(\bar{w}+w)+xyz(\bar{w}+w)=$ $=\bar{x}\bar{y}\bar{w}+\bar{x}yz+x\bar{y}\bar{z}\bar{w}+x\bar{y}z+xyz=$
$=xyz+x\bar{y}z+\bar{x}yz+\bar{y}\bar{w}(\bar{x}+x\bar{z})$
But I don't know how to reduce furthermore