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Chapter 1: Problem 81

Simplify each algebraic expression. $$13-(-7 x)+4 x-(-11)$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(13-(-7x)+4x-(-11)\) is \(24 + 11x\).

Step by step solution

01

Identify Constants and Variables

In the expression \(13-(-7x)+4x-(-11)\), 13 and 11 are constants, whereas -7x and 4x are variables.
02

Simplify Negative Signs

The negative sign before a negative number or variable flips the sign, so that changes the expression to \(13 +7x +4x +11\).
03

Simplify Constants

Simplify/Group the constants together. 13+11 becomes 24.
04

Simplify Variables

Simplify/Group the variables. 7x + 4x simplifies to 11x.
05

Final Simplification

Finally, combine the simplified constants and variables, which gives us the simplest form of the expression as \(24 + 11x\).

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