Which following answers applies the Distributive property of Multiplication over Addition correctly for simplifying 23-9 (2x+5) +11x?
The distributive property states that for any real numbers a, b, and c: a(b + c) = ab + ac. Applying this to the expression 23 - 9(2x + 5) + 11x, we distribute -9 over (2x + 5):
23 - 9 * 2x - 9 * 5 + 11x
Now perform the multiplications:
23 - 18x - 45 + 11x
Next, combine like terms (-18x and +11x):
23 - 7x - 45
Now combine the constant terms (23 and -45):
-22 - 7x
Thus, the expression 23 - 9(2x + 5) + 11x simplifies to -22 - 7x after correctly applying the distributive property of multiplication over addition.