1)
`|-8| - |2x -1| = -1 `
`=>8-|2x -1| = -1 `
`=>|2x -1| =8-(-1)`
`=>|2x -1| =9`
`=>`\(\left[ \begin{array}{l}2x -1 =9\\2x -1 =-9\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}2x=10\\2x=-8\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=5\\x=-4\end{array} \right.\)
2)
`(-3x + 12 ) . ( x+1 ) =0`
`=>`\(\left[ \begin{array}{l}-3x + 12=0\\x+1=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}-3x=-12\\x=-1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=4\\x=-1\end{array} \right.\)