1. **State the problem:** Solve the equation $1 + 1x = 2$ for $x$. 2. **Recall the order of operations:** Multiplication comes before addition. 3. **Rewrite the equation:** $1 + x = 2$ 4. **Isolate $x$:** Subtract 1 from both sides: $$x = 2 - 1$$ 5. **Simplify:** $$x = 1$$ **Final answer:** $x = 1$