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8x-2x+x+1=28x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
6x+x+1=28x
Combine 8x and -2x to get 6x.
7x+1=28x
Combine 6x and x to get 7x.
7x+1-28x=0
Subtract 28x from both sides.
-21x+1=0
Combine 7x and -28x to get -21x.
-21x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-21}
Divide both sides by -21.
x=\frac{1}{21}
Fraction \frac{-1}{-21} can be simplified to \frac{1}{21} by removing the negative sign from both the numerator and the denominator.