Question 617389
I don't know about the "four-step" process, but here goes!
Before the exchange of money, Jennifer had ${{{11x}}} and Rachel had ${{{7x}}}.
After the exchange, Jennifer had ${{{11x-20}}} and Jenifer had ${{{7x+20}}} and these last two amounts are equal, so

{{{11x-20 = 7x+20}}} Simplify.
{{{4x =40}}} Divide by 4.
{{{x = 10}}}
Originally, Jennifer had $11x = $110.00
Rachel had $7x = $70.00