To solve for x, let's first distribute the 811 on the left side of the equation:
811(x + 45) = 2455
Expanding the equation:
811x + 36595 = 2455
Now subtract 36595 from both sides of the equation:
811x = 2455 - 36595
811x = -34140
Finally, divide both sides of the equation by 811 to solve for x:
x = -34140/811
x = -42.1
Therefore, the solution for x is -42.1.