To use the distributive property to simplify -5(6+x), we need to distribute the -5 to both the 6 and the x, which means multiplying each term inside the parentheses by -5. This gives us:
-5(6+x) = -5(6) - 5(x)
Now, we can simplify this expression by performing the multiplication. We have:
-5(6) = -30
-5(x) = -5x
Therefore, the simplified expression is:
-5(6+x) = -30 - 5x
So, -5(6+x) can be simplified to -30 - 5x using the distributive property.