Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 6 times the larger is - 29. Write an equation to determine the consecutive integers

The correct answer is - 5.

Step-by-step explanation:

To start, we use x for the smaller integer. Then we can use that to write the equation as,

x + 6 (x + 1) = - 29

Now we solve for x.

x + 6x + 6 = - 29

7x + 6 = - 29

7x = - 35

x = - 5

Therefore the smaller of the two would be - 5