\(\dfrac{x-1}{0,16}=-9.\left(1-x\right)\)
\(\Rightarrow\) \(x-1=0,16.\left(-9\right).\left(1-x\right)\)
\(\Leftrightarrow\) \(x-1=-1,44.\left(1-x\right)\)
\(\Leftrightarrow\) \(x-1=-1,44+1,44x\)
\(\Leftrightarrow\) \(x-1,44x=1-1,44\)
\(\Leftrightarrow\) \(-0,44x=-0,44\)
\(\Leftrightarrow\) \(x=\dfrac{-0,44}{-0,44}\)
\(\Leftrightarrow\) \(x=1\)