Simplify the expression: 4(2x + 3) - 2(x - 5).

To simplify the expression 4(2x + 3) - 2(x - 5), start by applying the distributive property to both terms.

First, distribute the 4 across the first parentheses:

4(2x) + 4(3) = 8x + 12.

Next, distribute the -2 across the second parentheses:

-2(x) + -2(-5) = -2x + 10.

Now combine these results:

8x + 12 - 2x + 10.

Next, group together the like terms (the terms involving x and the constant terms):

For the x terms: 8x - 2x = 6x.

For the constant terms: 12 + 10 = 22.

Putting those together gives:

6x + 22.

This is the simplified expression. The correct answer is thus 6x + 22, reflecting the proper application of the distributive property and combining like terms.