1. **Problem statement:** Given $$\lim_{x \to c} f(x) = 10$$ and $$\lim_{x \to c} g(x) = -14$$, evaluate $$\lim_{x \to c} (f(x) + 8g(x))$$ using limit laws. 2. **Limit laws used:** - Sum law: $$\lim_{x \to c} [f(x) + h(x)] = \lim_{x \to c} f(x) + \lim_{x \to c} h(x)$$ - Constant multiple law: $$\lim_{x \to c} [k \cdot f(x)] = k \cdot \lim_{x \to c} f(x)$$ where $$k$$ is a constant. 3. **Apply the laws:** $$\lim_{x \to c} (f(x) + 8g(x)) = \lim_{x \to c} f(x) + \lim_{x \to c} 8g(x)$$ $$= 10 + 8 \cdot \lim_{x \to c} g(x)$$ $$= 10 + 8 \cdot (-14)$$ 4. **Calculate:** $$10 + 8 \times (-14) = 10 - 112 = -102$$ 5. **Final answer:** $$\boxed{-102}$$