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

x = 5

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.