1. **State the problem:** Simplify the expression $6(x + 3) - 10 + 2x$ and find which of the given options matches the result.
2. **Use the distributive property:** Multiply $6$ by each term inside the parentheses.
$$6(x + 3) = 6 \times x + 6 \times 3 = 6x + 18$$
3. **Rewrite the expression:**
$$6x + 18 - 10 + 2x$$
4. **Combine like terms:** Combine the $x$ terms and the constant terms separately.
$$6x + 2x + 18 - 10 = (6x + 2x) + (18 - 10)$$
5. **Simplify:**
$$8x + 8$$
6. **Conclusion:** The simplified expression is $8x + 8$, which corresponds to option A.
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