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\sqrt{3x+4}-7-\left(-7\right)=-\left(-7\right)
Add 7 to both sides of the equation.
\sqrt{3x+4}=-\left(-7\right)
Subtracting -7 from itself leaves 0.
\sqrt{3x+4}=7
Subtract -7 from 0.
3x+4=49
Square both sides of the equation.
3x+4-4=49-4
Subtract 4 from both sides of the equation.
3x=49-4
Subtracting 4 from itself leaves 0.
3x=45
Subtract 4 from 49.
\frac{3x}{3}=\frac{45}{3}
Divide both sides by 3.
x=\frac{45}{3}
Dividing by 3 undoes the multiplication by 3.
x=15
Divide 45 by 3.