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To solve the equation 811(x+45)=2455, first distribute the 811 to both terms inside the parentheses:
811x + 811*45 = 2455
811x + 36595 = 2455
Now, subtract 36595 from both sides to isolate the variable:
811x = 2455 - 36595
811x = -34140
Divide both sides by 811 to solve for x:
x = -34140 / 811
x = -42.12
Therefore, x = -1/5 after approximating the decimal value to the nearest hundredth.