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To simplify the multiplication of 81 times 76, you can break it down into simpler calculations. First, multiply 81 by 70 (which is 6,420), and then multiply 81 by 6 (which is 486). Finally, add these two results together.

( 81 times 76 = (81 times 70) + (81 times 6) )

( = 6,420 + 486 )

( = 6,906 )

So, 81 multiplied by 76 equals 6,906.

To simplify the multiplication of 2x, you’re essentially asking for the distributive property to be applied. When you multiply 2 by x, you get:

2x = 2 * x

The result is simply 2x itself, as there’s no further simplification needed in this case. The distributive property states that a * (b + c) = a * b + a * c, but since there’s only one term (x), there’s no additional multiplication involved.

If you have a more complex expression, such as 2x times another variable or number, please provide that for further simplification.

The product of multiplying 2 by 2 is 4. This is one of the basic multiplication facts, and it forms the foundation for understanding numerical operations. There is no need for additional reference material as this is a universally known arithmetic fact.