Equivalent Expression C8F4Fe

1. **State the problem:** We need to find which expression is equivalent to $24x$ from the given options. 2. **Recall the distributive property:** $a(b + c) = ab + ac$. This helps us expand expressions like $4(6x + 2)$. 3. **Check each option:** - Option 1: $32x$ is just $32x$, which is not equal to $24x$. - Option 2: Expand $4(6x + 2)$: $$4 \times 6x + 4 \times 2 = 24x + 8$$ This is $24x + 8$, not equal to $24x$. - Option 3: Expand $4(6x + 8)$: $$4 \times 6x + 4 \times 8 = 24x + 32$$ This is $24x + 32$, not equal to $24x$. - Option 4: Expand $4(6x + 2x)$: $$4 \times 6x + 4 \times 2x = 24x + 8x = 32x$$ This equals $32x$, not $24x$. 4. **Conclusion:** None of the options exactly equal $24x$. However, option 2, $4(6x + 2)$, expands to $24x + 8$, which is close but not equal. 5. **Re-examine option 4:** $4(6x + 2x) = 4(8x) = 32x$, which is option 1. 6. **Final answer:** The only expression exactly equal to $24x$ is $24x$ itself, which is not listed. Therefore, none of the options are equivalent to $24x$. **Answer:** None of the given options are equivalent to $24x$.