Final answer:
The equation 2(2x + 1) = 4x + 3 simplifies to the false statement 2 = 3, indicating that there are zero solutions to the equation.
Step-by-step explanation:
The original equation given is 2(2x + 1) = 4x + 3. When simplified, this equation should reveal if there are zero, one, or infinitely many solutions. First, distribute the 2 on the left side to get 4x + 2. Then, rewrite the equation: 4x + 2 = 4x + 3. Now, if we try to solve for x, we find that subtracting 4x from both sides yields 2 = 3, which is not true. Therefore, there is no value of x that can satisfy this equation, and so it has zero solutions. The presence of an equality that is always false, such as 2 = 3, indicates that there are no possible solutions to the given equation.