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Chapter 6: Problem 42

Simplify each algebraic expression. \(5 x+13 x\)

Short Answer

Expert verified
The simplified expression is \(18x\).

Step by step solution

01

Identify Like Terms

In this algebraic expression, the like terms are \(5x\) and \(13x\). They are called like terms because they have the same variable part, which is \(x\).
02

Add the coefficients

The coefficients of the like terms \(5x\) and \(13x\) are 5 and 13, respectively. When you add these coefficients, you get the total coefficient of \(18\).
03

Write the Simplified Expression

The algebraic expression \(5x + 13x\) simplifies to \(18x\) by adding the coefficients of like terms.

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