To simplify the expression \( 7x - 3 + 2x + 6 \), we can combine like terms.
First, let's group the \( x \) terms together and the constant terms together:
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Combine the \( x \) terms: \( 7x + 2x = 9x \)
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Combine the constant terms: \( -3 + 6 = 3 \)
Now, putting it all together, we get:
\[ 9x + 3 \]
So, the simplified expression is \( 9x + 3 \).