Let's simplify the expression \( 17x + 10 - 3(2x + 1) \):
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Distribute \( -3 \) across \( (2x + 1) \): \[ -3(2x + 1) = -6x - 3 \]
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Now substitute this back into the expression: \[ 17x + 10 - 6x - 3 \]
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Combine like terms:
- Combine the \( x \) terms: \( 17x - 6x = 11x \)
- Combine the constant terms: \( 10 - 3 = 7 \)
Putting it all together, we have: \[ 11x + 7 \]
So, the equivalent expression is \( \boxed{11x + 7} \).