To simplify the expression \( 17x + 10 - 3(2x + 1) \), let's follow the steps:
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Distribute the \(-3\) across the parentheses: \[ -3(2x + 1) = -6x - 3 \]
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Substitute back into the expression: \[ 17x + 10 - 6x - 3 \]
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Combine like terms: \[ (17x - 6x) + (10 - 3) = 11x + 7 \]
So the expression simplifies to \( 11x + 7 \).
Thus, the correct answer is: 11x + 7