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\sqrt{3x+1}-4-\left(-4\right)=-\left(-4\right)
Add 4 to both sides of the equation.
\sqrt{3x+1}=-\left(-4\right)
Subtracting -4 from itself leaves 0.
\sqrt{3x+1}=4
Subtract -4 from 0.
3x+1=16
Square both sides of the equation.
3x+1-1=16-1
Subtract 1 from both sides of the equation.
3x=16-1
Subtracting 1 from itself leaves 0.
3x=15
Subtract 1 from 16.
\frac{3x}{3}=\frac{15}{3}
Divide both sides by 3.
x=\frac{15}{3}
Dividing by 3 undoes the multiplication by 3.
x=5
Divide 15 by 3.