Multi-Step Equations Unit Test

Question

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Question
Solve for x in the equation 811(x+45)=2455.(1 point)
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Answer 1

To solve for x in the equation 811(x+45)=2455, we can start by simplifying the equation.

First, distribute the 811 to both terms inside the parentheses:
811(x+45) = 2455
811x + 811 * 45 = 2455

Next, simplify the equation further by multiplying:
811x + 36595 = 2455

Now, let's isolate the variable x by moving the constant term to the other side of the equation.

Subtract 36595 from both sides:
811x + 36595 - 36595 = 2455 - 36595
811x = -34140

Finally, divide both sides of the equation by 811 to solve for x:
811x/811 = -34140/811
x = -42.12 (rounded to two decimal places)

Therefore, the solution to the equation 811(x+45)=2455 is x = -42.12.