1. **State the problem:** Solve the equation $-7x + 10 = -7x + 140$ for $x$. 2. **Write down the equation:** $$-7x + 10 = -7x + 140$$ 3. **Add $7x$ to both sides to eliminate $-7x$ on the left:** $$-7x + 7x + 10 = -7x + 7x + 140$$ $$\cancel{-7x} + \cancel{7x} + 10 = \cancel{-7x} + \cancel{7x} + 140$$ $$10 = 140$$ 4. **Analyze the result:** The equation simplifies to $10 = 140$, which is false. 5. **Conclusion:** Since the simplified statement is false, there is no solution to the equation. **Final answer:** No solution (the equation is inconsistent).