[tex]\bf{ \sqrt[3]{3} x + 1 = 3}[/tex]
[tex]\bf{ \sqrt[3]{3} x = 3 - 1 = 2}[/tex]
[tex]\bf{ \sqrt[3]{3}x = 2 }[/tex]
[tex]\bf{x = \frac{2}{ \sqrt[3]{3} } = \frac{2 \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } } = \frac{2 \sqrt[3]{ {3}^{2} } }{3} =\boxed{ \bf{ \frac{2 \sqrt[3]{9} }{3} } } }[/tex]