Final answer:
We simplified the given expression using exponent rules and found that the answer is very close to 2; however, this does not match any of the provided answer choices.
Step-by-step explanation:
To solve for 7^x + 2 - (49 \* 7^{(x - 2)})/48 \* 7^x, let's simplify the expression step by step.
First, notice that 49 is 7 squared, so we can rewrite the expression to make it easier:
7^x + 2 - (7^2 \* 7^{x-2})/48 \* 7^x
Using the property of exponents ((a^m)(a^n) = a^(m+n)), combine the exponents:
7^x + 2 - 7^{(2+x-2)}/48 \* 7^x
The exponents in the numerator are equal, so it simplifies to:
7^x + 2 - 7^x/48 \* 7^x
Now we divide 7^x by 48 \* 7^x:
7^x + 2 - 1/48
Since 1/48 is a very small number and does not affect the '+ 2', we can now ignore it to find the closest integer:
The closest integer answer is 2.
Therefore, we don't have the exact options listed, but the process shows how we arrive at the answer being very close to 2, knowing that none of the options given (0, 1, 7, 42) match this result.