Đáp án:
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Giải thích các bước giải:
$a)\,\left|x+\dfrac13\right|=0\\\Rightarrow x+\dfrac13=0\\\Rightarrow x=\dfrac{-1}{3}\\b)\,|x|-\dfrac35=\dfrac59\\\Rightarrow |x|=\dfrac{52}{45}\\\Rightarrow x=\pm\dfrac{52}{45}\\c)\,\left|x+\dfrac34\right|=\dfrac12\\\Rightarrow\left\{\begin{matrix}x+\dfrac34=\dfrac12\Rightarrow x=\dfrac{-1}4\\x+\dfrac34=\dfrac{-1}{2}\Rightarrow x=\dfrac{-5}4\end{matrix}\right.\\d)\,\left|\dfrac{5}{18}-x\right|-\dfrac{7}{24}=0\\\Rightarrow \left|\dfrac{5}{18}-x\right|=\dfrac{7}{24}\\\Rightarrow\left\{\begin{matrix}\dfrac{5}{18}-x=\dfrac{7}{24}\Rightarrow x=\dfrac{-1}{72}\\\dfrac{5}{18}-x=\dfrac{-7}{24}\Rightarrow x=\dfrac{41}{72}\end{matrix}\right.$