Answer
$x=-\frac{1}{3}$
Work Step by Step
$\displaystyle \frac{1}{x}=\frac{4}{3x}+1$
Multiply both sides by $3x$:
$3=4+3x$
Combine $x$ terms:
$-1=3x$
Solve for $x$:
$x=-\frac{1}{3}$
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