To solve the inequality $x + 3 \leq 7$, follow these steps:

1. Subtract 3 from both sides to isolate $x$:

$x + 3 - 3 \leq 7 - 3$

2. Simplify:

$x \leq 4$

So, the solution is $x \leq 4$.

Would you like more details on solving inequalities or any further questions?

Here are some related questions:

1. How do you solve $2x + 5 \leq 9$?
2. What happens when you multiply or divide an inequality by a negative number?
3. How can you represent the solution $x \leq 4$ on a number line?
4. How do compound inequalities work?
5. What is the difference between a strict inequality and a non-strict inequality?

Tip: When solving inequalities, always remember to reverse the inequality symbol if you multiply or divide by a negative number.