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3-2\times 108\left(1+x\right)=0
Divide both sides by 108. Zero divided by any non-zero number gives zero.
3-216\left(1+x\right)=0
Multiply 2 and 108 to get 216.
3-216-216x=0
Use the distributive property to multiply -216 by 1+x.
-213-216x=0
Subtract 216 from 3 to get -213.
-216x=213
Add 213 to both sides. Anything plus zero gives itself.
x=\frac{213}{-216}
Divide both sides by -216.
x=-\frac{71}{72}
Reduce the fraction \frac{213}{-216} to lowest terms by extracting and canceling out 3.