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7x+1=16x
Multiply both sides of the equation by 4.
7x+1-16x=0
Subtract 16x from both sides.
-9x+1=0
Combine 7x and -16x to get -9x.
-9x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-9}
Divide both sides by -9.
x=\frac{1}{9}
Fraction \frac{-1}{-9} can be simplified to \frac{1}{9} by removing the negative sign from both the numerator and the denominator.