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\left(1+\sqrt{3}\right)x=100
Combine all terms containing x.
\left(\sqrt{3}+1\right)x=100
The equation is in standard form.
\frac{\left(\sqrt{3}+1\right)x}{\sqrt{3}+1}=\frac{100}{\sqrt{3}+1}
Divide both sides by 1+\sqrt{3}.
x=\frac{100}{\sqrt{3}+1}
Dividing by 1+\sqrt{3} undoes the multiplication by 1+\sqrt{3}.
x=50\sqrt{3}-50
Divide 100 by 1+\sqrt{3}.