Question: User: $(13x-13y+7z)+(x-24y+4z)+(-23x+17y-10z)$
1. **State the problem:** Simplify the expression $$(13x-13y+7z)+(x-24y+4z)+(-23x+17y-10z)$$ by combining like terms.
2. **Write down the expression:**
$$13x - 13y + 7z + x - 24y + 4z - 23x + 17y - 10z$$
3. **Group like terms:**
$$ (13x + x - 23x) + (-13y - 24y + 17y) + (7z + 4z - 10z) $$
4. **Simplify each group:**
- For $x$ terms: $$13x + x - 23x = (13 + 1 - 23)x = (-9)x = -9x$$
- For $y$ terms: $$-13y - 24y + 17y = (-13 - 24 + 17)y = (-20)y = -20y$$
- For $z$ terms: $$7z + 4z - 10z = (7 + 4 - 10)z = 1z = z$$
5. **Write the simplified expression:**
$$-9x - 20y + z$$
**Final answer:** $$\boxed{-9x - 20y + z}$$