7(1 - 2x) = -x + 33
Distribute 7 inside the parentheses.
7 - 14x = -x + 33
Subtract 7 from both sides.
-14x = -x + 26
Add x to both sides.
-13x = 26
Divide both sides by -13.
x = -2
Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)
He wants to believe that he can change his circumstances by being in the right place at the right time.