Simplify -2(x - 5) + 4(9 + x).

Answer 1

Starting with -2(x - 5):

Using the distributive property, we can multiply -2 by each term inside the parentheses:

-2(x) - (-2)(5)

This simplifies to:

-2x + 10

Now let's simplify 4(9 + x):

Again, we use the distributive property:

4(9) + 4(x)

This simplifies to:

36 + 4x

Now we can put these two parts together:

-2(x - 5) + 4(9 + x)

= (-2x + 10) + (36 + 4x)

= 2x + 46

So the simplified expression is 2x + 46.