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10x=\left(x+1\right)\times 75\times 100000000000000000
Calculate 10 to the power of 17 and get 100000000000000000.
10x=\left(x+1\right)\times 7500000000000000000
Multiply 75 and 100000000000000000 to get 7500000000000000000.
10x=7500000000000000000x+7500000000000000000
Use the distributive property to multiply x+1 by 7500000000000000000.
10x-7500000000000000000x=7500000000000000000
Subtract 7500000000000000000x from both sides.
-7499999999999999990x=7500000000000000000
Combine 10x and -7500000000000000000x to get -7499999999999999990x.
x=\frac{7500000000000000000}{-7499999999999999990}
Divide both sides by -7499999999999999990.
x=-\frac{750000000000000000}{749999999999999999}
Reduce the fraction \frac{7500000000000000000}{-7499999999999999990} to lowest terms by extracting and canceling out 10.