Randy is checking to determine if the expressions 2⁢x+2+4⁢x and 2⁢(3⁢x+1) are equivalent. When x=3, he correctly finds that both expressions have a value of 20. When x=2, he correctly evaluates the first expression to find that 2⁢x+2+4⁢x=14. What is the value of the second expression when x is equal to 2 , and are the two expressions equivalent?

Substitute x = 2 into the second expression: 2(3 × 2 + 1) = 2(6 + 1) = 14. The first expression is also 14 when x = 2, so the values match. In fact, both expressions simplify to 6x + 2, so they are equivalent; the correct choice is A, the second expression is 14 and the expressions are equivalent.

AI-written and checked against the verified answer.