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4x+1+\frac{x}{12}=50
Multiply both sides of the equation by 4, the least common multiple of 4,2.
\frac{49}{12}x+1=50
Combine 4x and \frac{x}{12} to get \frac{49}{12}x.
\frac{49}{12}x=50-1
Subtract 1 from both sides.
\frac{49}{12}x=49
Subtract 1 from 50 to get 49.
x=49\times \frac{12}{49}
Multiply both sides by \frac{12}{49}, the reciprocal of \frac{49}{12}.
x=12
Cancel out 49 and 49.