Which of the following equations have no solutions? Choose all answers that apply: A \( 33 x+25=33 x+25 \) B \( 33 x+33=33 x+25 \) C \( 33 x-25=33 x+25 \) (D) \( 33 x-33=33 x+25 \)

Let's break it down! For option A, \( 33 x + 25 = 33 x + 25 \), this is always true for any value of \( x \) because it's identical on both sides. It's like saying "apples are apples," so it has infinite solutions. For option B, \( 33 x + 33 = 33 x + 25 \), simplifying gives us \( 33 = 25 \), which is obviously false. Hence, this equation has no solutions. Option C, \( 33 x - 25 = 33 x + 25 \), simplifies to \( -25 = 25 \), which, again, is false. Thus, this one also has no solutions. Finally, option D, \( 33 x - 33 = 33 x + 25 \), simplifies to \( -33 = 25 \), which is also not correct. Hence, this too has no solutions. So, the equations with no solutions are B, C, and D! How’s that for some equation sleuthing?