To use the Associative property to simplify the expression \(9x + (2x + 3)\), we can regroup the terms. The Associative property states that the way in which numbers are grouped does not change their sum.
Here's how we can simplify it step by step:
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Group the terms: We can either take the first term \(9x\) and combine it with \(2x\), or we could rearrange it differently. For this case, let's group \(9x\) with \(2x\):
\[ 9x + (2x + 3) = (9x + 2x) + 3 \]
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Add the terms in the parentheses: Now, add \(9x\) and \(2x\):
\[ 9x + 2x = 11x \]
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Combine with the constant term: Now we have:
\[ (11x) + 3 = 11x + 3 \]
Thus, the simplified expression is
\[ \boxed{11x + 3} \]