To simplify this expression, we need to use the distributive property to multiply 38 by both terms inside the parentheses. This gives:
14x + 38(16x + 16) = 14x + (38 * 16x) + (38 * 16)
Multiplying 38 by 16x gives 608x, and multiplying 38 by 16 gives 608. So the expression becomes:
14x + 608x + 608
Combining like terms, we get:
622x + 608
Therefore, 14x + 38(16x + 16) simplifies to 622x + 608.