If $x$ is doubled and then increased by $7$, the result is $81$. What is the value of $x$?
I need to find the value of $x$ that satisfies the equation $2x + 7 = 81$. To isolate $x$, I can subtract $7$ from both sides of the equation, which gives me $2x = 74$. Then, I can divide both sides by $2$, which gives me $x = 37$. I can check my answer by plugging it back into the original equation: $2(37) + 7 = 81$, which is true. So, the value of $x$ is $37$. 