In the equation \( x8 = \frac{3(x+4)}{2} \), we want to identify which expression represents a product.
Let's examine the given options:
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3(x+4): This represents a product of 3 and the expression \((x + 4)\).
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\( \frac{x}{8} \): This is a fraction and does not represent a product.
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2: This is just a number and does not represent a product.
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\(\frac{3(x+4)}{2}\): While this expression includes a product (3 and \(x+4\)), it's also divided by 2, so it represents a quotient rather than just a product.
The expression that clearly represents a product in the equation is:
3(x+4)
So the answer is \(3(x+4)\).