To match the addition problem to the multiplication problem, we first identify the multiplication problem given, which appears to suggest something like \( x \times 4 \). This indicates we are looking for an addition problem that represents four identical terms or that expresses the total through repeated addition.
Let's analyze each of the options given:
A: \( 2 + 4 + 32 + 4 + 32 + 4 + 3 \)
This does not clearly represent a multiplication by 4, as the terms are not identical.
B: \( 23 + 23 + 23 + 23 + \frac{2}{3} + \frac{2}{3} + \frac{2}{3} + \frac{2}{3} \)
Here, we have four instances of \( 23 \) and four instances of \( \frac{2}{3} \). While there's a repeated addition of two different terms here, it includes more than one variable term in a way that doesn't neatly correspond to just multiplying by 4 with a single value.
C: \( 34 + 34 + 23 + \frac{3}{4} + \frac{3}{4} + \frac{2}{3} \)
This also contains multiple distinct values and does not resemble a single value being added four times.
Given the formatted question, to better assist, I need to clarify: if the multiplication problem is specifically \( x \times 4 \) indicating four identical values multiplied, then we want a direct matching with four additions of the same term.
However, if instead we take 4 total terms, especially but might not be identical, each of the options presents a combination of additions without distinctly pointing to identical terms. Hence, there is no clear single-answer matching from the given options that correspond directly to a standard multiplication of a single number by 4.
If we take "x" as any representative number (e.g., \( x = 23\) for B), there arguably can be a simplified view matching the quantity of terms, but none precisely embodies the multiplication setup you've also referred to as "x times 4."
Conclusively, none of these equations clearly aligns straightforwardly with “x x 4” as potentially implied or represents an addition matching counter to straightforward multiplication by 4 in its simplest format.