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1+\left(x-4\right)\times 4=0
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.
1+4x-16=0
Use the distributive property to multiply x-4 by 4.
-15+4x=0
Subtract 16 from 1 to get -15.
4x=15
Add 15 to both sides. Anything plus zero gives itself.
x=\frac{15}{4}
Divide both sides by 4.