To simplify the expression $x(2y + 6)$, you need to distribute the $x$ to both terms inside the parentheses. Here's the step-by-step breakdown:

$x(2y + 6) = x \cdot 2y + x \cdot 6$

So, the expression simplifies to:

$2xy + 6x$

Thus, the simplified form of $x(2y + 6)$ is $2xy + 6x$.

Would you like further clarification or additional steps?

Here are 5 related questions:

1. What is the distributive property in algebra?
2. How would you simplify $3a(4b + 2c)$?
3. Can you factor the expression $2xy + 6x$?
4. What happens when you distribute a negative number, e.g., $-x(2y + 6)$?
5. How do you solve an equation like $2xy + 6x = 0$?

Tip: Always check if the terms can be factored back to their original form to make sure no simplifications were missed.