Answer
$x=-\dfrac{1}{3}$
Work Step by Step
Using properties of equality, then,
\begin{array}{l}
3x+1=0\\
3x+1-1=0-1\\
3x=-1\\
\dfrac{1}{3}\cdot3x=-1\cdot\dfrac{1}{3}\\\\
x=-\dfrac{1}{3}
.\end{array}
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