1. **State the problem:** Simplify the expression $X \cdot 2 + 6 \cdot 3 \cdot (x+2)$. 2. **Write the expression clearly:** $2X + 6 \times 3 \times (x+2)$. 3. **Multiply constants:** $6 \times 3 = 18$, so the expression becomes $2X + 18(x+2)$. 4. **Distribute 18 over $(x+2)$:** $2X + 18x + 36$. 5. **Combine like terms:** $2X$ and $18x$ are like terms if $X$ and $x$ represent the same variable; assuming they do, $2x + 18x = 20x$. 6. **Final simplified expression:** $$20x + 36$$