Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. last week he worked 35 hours and earned $436.60 , write and solve an equation to find julio's normal hourly rates, r. explain how you know that your answer is reasonable

Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.
last week he worked 35 hours and got 436.60 dollars.
We need to find an equation so we can be able to solve Julio’s earnings:
=> Let X be the value of Julio’s rate
=> 30 * X + 5 x 1.4x = 436.6
=> 30x + 7x = 436.6
=> 37x = 436.6
=> 37x / 37 = 436.6 / 37
=> x = 11.8
Thus the original rate of Julio is 11.8 dollars
=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate
=> 30 x 11.8  + 5 x 16.52
=> 354 + 82.6
=> 436.6