Final answer:
The equation 4x + 3 = 4x + 3 has infinitely many solutions because after simplifying, we are left with the truth that 3 = 3, which is true for all values of x.
Step-by-step explanation:
The equation 4x + 3 = 4x + 3 is an example of a linear equation with the same variable terms and constants on both sides of the equal sign. In this case, you can subtract 4x from both sides to get 3 = 3, which is always true. This indicates that the original equation is true for all values of x, meaning it has infinitely many solutions. Therefore, this equation is consistent and dependent, and does not identify a unique solution for the variable x.