1. **State the problem:** Simplify the expression $$2(5 + 3x) + (x + 10)$$. 2. **Use the distributive property:** Multiply 2 by each term inside the first parentheses. $$2 \times 5 + 2 \times 3x = 10 + 6x$$ 3. **Rewrite the expression:** $$10 + 6x + x + 10$$ 4. **Combine like terms:** Add the constants and the terms with $x$. $$10 + 10 = 20$$ $$6x + x = 7x$$ 5. **Final simplified expression:** $$20 + 7x$$ This is the simplified form of the original expression.