Question: User: 2(6+4(2x5-7)

1. **State the problem:** Simplify the expression $$2(6+4(2\times5-7))$$. 2. **Apply the order of operations (PEMDAS):** Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). 3. **Calculate inside the innermost parentheses:** $$2\times5=10$$. 4. **Substitute back:** $$2(6+4(10-7))$$. 5. **Simplify inside the parentheses:** $$10-7=3$$. 6. **Substitute back:** $$2(6+4\times3)$$. 7. **Multiply:** $$4\times3=12$$. 8. **Substitute back:** $$2(6+12)$$. 9. **Add inside the parentheses:** $$6+12=18$$. 10. **Multiply:** $$2\times18=36$$. **Final answer:** $$36$$.