Find the value of $x$ such that $\sqrt{3x + 7} = 10$.
To solve for $x$, I need to isolate it on one side of the equation. I can start by squaring both sides of the equation to get rid of the square root. This gives me $3x + 7 = 10^2$, which simplifies to $3x + 7 = 100$. Next, I can subtract 7 from both sides to get $3x = 93$. Finally, I can divide both sides by 3 to get $x = 31$. 