To simplify the expression \(23x + 9 - 5x\), we start by combining like terms.
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Combine the \(x\) terms: \[ 23x - 5x = 18x \]
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Now, add the constant term: \[ 18x + 9 \]
Now we have the simplified expression: \[ 18x + 9 \]
Next, we can factor this expression. Notice that both terms share a common factor of 9: \[ 18x + 9 = 9(2x + 1) \]
Thus, the equivalent algebraic expression is: \[ 9(2x + 1) \]
The correct answer is: C. 9(2x + 1)