1. **State the problem:** Solve the equation $$18x + 7 - 14x + (-6x) - 10 = -13$$. 2. **Combine like terms on the left side:** Group the terms with $$x$$ and the constant terms separately. $$18x - 14x - 6x + 7 - 10 = -13$$ 3. **Simplify the $$x$$ terms:** $$18x - 14x - 6x = (18 - 14 - 6)x = (4 - 6)x = -2x$$ 4. **Simplify the constants:** $$7 - 10 = -3$$ 5. **Rewrite the equation:** $$-2x - 3 = -13$$ 6. **Isolate the $$x$$ term by adding 3 to both sides:** $$-2x - 3 + 3 = -13 + 3$$ $$-2x = -10$$ 7. **Divide both sides by $$-2$$ to solve for $$x$$:** $$x = \frac{-10}{-2}$$ 8. **Simplify the fraction:** $$x = \cancel{\frac{-10}{-2}} = 5$$ **Final answer:** $$x = 5$$