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Chapter 1: Problem 56

Simplify each algebraic expression. $$7 x+8+2 x-3$$

Short Answer

Expert verified
The simplified algebraic expression is \(9x + 5\).

Step by step solution

01

Group like terms

Organize the equation by placing the terms with variables together and the constants together. Hence, the equation should look like this: \(7x + 2x + 8 - 3\)
02

Combine like terms

Add the coefficients of the terms with the variable x together. Additionally, subtract the constants. This results in \(9x + 5\)
03

Clear any extra simplification

Check to ensure that there are no further like terms that can be combined. In this case, there are none so the simplified equation is \(9x + 5\).

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