Final answer:
To simplify the expression, distribute the multipliers to the terms inside the parentheses and then add like terms. The result is -13x + 56, which does not match any of the provided options, indicating a possible error in the given choices or the question.
Step-by-step explanation:
To simplify the expression -6(x-7)-7(x-2), we need to distribute the numbers outside the parentheses to the terms inside and then combine like terms.
Firstly, distribute -6 to (x-7):
-6 * x = -6x
-6 * (-7) = +42
So, -6(x - 7) becomes -6x + 42.
Next, distribute -7 to (x-2):
-7 * x = -7x
-7 * (-2) = +14
So, -7(x - 2) becomes -7x + 14.
Now, combine the like terms:
-6x + 42 - 7x + 14
Combine the x terms:
-6x - 7x = -13x
Combine the constant terms:
42 + 14 = 56
So the simplified expression is -13x + 56. Unfortunately, none of the given options (a, b, c, d) match this result. It seems there may have been an error in the options provided or in the initial question.
Check the answer to see if it is reasonable.