1. Find the value of $x$. \[ 5 x+11^{\circ}=4(x+6)^{\circ} \]

Step 1 ：This is a simple algebraic equation. We need to solve for x. We can start by expanding the right side of the equation and then move all terms involving x to one side and constants to the other side.

Step 2 ：The solution to the equation is x = 13. This means that if we substitute x = 13 into the original equation, both sides of the equation should be equal.

Step 3 ：Final Answer: The solution to the equation is \(\boxed{13}\).