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365x+1-365\times 0.2\left(365x+1\right)=1
Variable x cannot be equal to -\frac{1}{365} since division by zero is not defined. Multiply both sides of the equation by 365x+1.
365x+1-73\left(365x+1\right)=1
Multiply 365 and 0.2 to get 73.
365x+1-26645x-73=1
Use the distributive property to multiply -73 by 365x+1.
-26280x+1-73=1
Combine 365x and -26645x to get -26280x.
-26280x-72=1
Subtract 73 from 1 to get -72.
-26280x=1+72
Add 72 to both sides.
-26280x=73
Add 1 and 72 to get 73.
x=\frac{73}{-26280}
Divide both sides by -26280.
x=-\frac{1}{360}
Reduce the fraction \frac{73}{-26280} to lowest terms by extracting and canceling out 73.