Question

"Negative one times the sum of one and seven times a number,
decreased by 6 times the difference of negative seven and a
number, equals thirty-six."

Answer 1

Answer:

x = 5

Step-by-step explanation:

Let the number be x

Translating the word expression into an algebraic equation;

$-1 * (1+7x) - 6[(-7-x)] = 36$

Simplifying the equation, we have;

$-1 - 7x + 42 + 6x = 36$

$41 - x = 36$

Rearranging the equation, we have;

$x = 41 - 36$

x = 5

Therefore, the number is 5.