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1=\frac{x-\left(-1\right)}{3-\left(-1\right)}
Cancel out 4 in both numerator and denominator.
1=\frac{x+1}{3-\left(-1\right)}
The opposite of -1 is 1.
1=\frac{x+1}{3+1}
The opposite of -1 is 1.
1=\frac{x+1}{4}
Add 3 and 1 to get 4.
1=\frac{1}{4}x+\frac{1}{4}
Divide each term of x+1 by 4 to get \frac{1}{4}x+\frac{1}{4}.
\frac{1}{4}x+\frac{1}{4}=1
Swap sides so that all variable terms are on the left hand side.
\frac{1}{4}x=1-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
\frac{1}{4}x=\frac{4}{4}-\frac{1}{4}
Convert 1 to fraction \frac{4}{4}.
\frac{1}{4}x=\frac{4-1}{4}
Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{4}x=\frac{3}{4}
Subtract 1 from 4 to get 3.
x=\frac{3}{4}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=3
Cancel out 4 and 4.