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Answer :

Solving for x,

[tex]\begin{gathered} \sqrt[]{x+3}+4=5\rightarrow\sqrt[]{x+3}=5-4\rightarrow(\sqrt[]{x+3})^2=(1)^2 \\ \rightarrow x+3=1 \\ \\ \Rightarrow x=-2 \end{gathered}[/tex]