a) \(x-\left(-234\right)=766\)
\(x=766+\left(-234\right)\)
\(x=532\)
b) \(2017-\left(17-x\right)=4016\)
\(17-x=2017-4016\)
\(17-x=\left(-1999\right)\)
\(x=17-\left(-1999\right)\)
\(x=2016\)
c) \(\left|x-1\right|=5\)
\(\left|x\right|=5+1\)
\(\left|x\right|=6\)
\(\Rightarrow x=6\)
d) \(\left(2x+1\right)^2=9\)
\(x=1\)