1. **State the problem:** Simplify the expression $$2x(3 - 4x)$$. 2. **Recall the distributive property:** For any numbers or variables $$a, b, c$$, $$a(b + c) = ab + ac$$. 3. **Apply the distributive property:** $$2x(3 - 4x) = 2x \times 3 - 2x \times 4x$$ 4. **Multiply each term:** $$= 6x - 8x^2$$ 5. **Write the simplified expression:** $$-8x^2 + 6x$$ This is the fully simplified form of the expression.