\(x+3⋮x+1\)
\(\Rightarrow\left(x+1\right)+2⋮x+1\)
\(\Rightarrow2⋮x+1\)
\(\Rightarrow x+1\in\left\{-1;+1:-2+2\right\}\)
\(\Rightarrow x\in\left\{-2;0;-3;1\right\}\)
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