solve for the equation, show all your work:
6(x + 1) = -2(3x + 9)

x = -2

Step-by-step explanation:

The given equation is

6(x + 1) = -2(3x + 9)

The unknown variable is x.

We want to look for the value of x.

To determine the value if x, we would expand the brackets on the left hand side of the equation and on the right hand side of the equation. This involves multiplying the terms inside the bracket by the term outside the bracket.

It becomes

6x + 6 = -6x -18

Let the terms containing x be on the left hand side of the equation and the constants be on the right hand side of the equation. It becomes

6x+6x = -18-6

12x = -24

x= -24/12

x = -2

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

she will travel a distance in the range of 3 - 11 miles