`16-4|2×x+1|=8`
`=> 4|2×x+1|=16-8`
`=> 4|2×x+1|=8`
`=>|2×x+1|=8:4`
`=>|2×x+1|=2`
\(\Rightarrow\left[{}\begin{matrix}2\times x+1=2\\2\times x+1=-2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2\times x=1\\2\times x=-3\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{3}{2}\end{matrix}\right.\)
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