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49\sqrt[3]{3}+\sqrt[3]{3}x=1
Use the distributive property to multiply \sqrt[3]{3} by 49+x.
\sqrt[3]{3}x=1-49\sqrt[3]{3}
Subtract 49\sqrt[3]{3} from both sides.
\frac{\sqrt[3]{3}x}{\sqrt[3]{3}}=\frac{1-49\sqrt[3]{3}}{\sqrt[3]{3}}
Divide both sides by \sqrt[3]{3}.
x=\frac{1-49\sqrt[3]{3}}{\sqrt[3]{3}}
Dividing by \sqrt[3]{3} undoes the multiplication by \sqrt[3]{3}.
x=\frac{1}{\sqrt[3]{3}}-49
Divide 1-49\sqrt[3]{3} by \sqrt[3]{3}.