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Chapter 1: Problem 51

Simplify each algebraic expression. $$3+(x+11)$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(3 + (x + 11)\) is \(x + 14\).

Step by step solution

01

Identify the expression

The given algebraic expression is \(3 + (x + 11)\)
02

Apply the applicable mathematical property

To simplify the expression, apply the associative property. This property states that the way in which numbers are grouped does not change their sum. In the expression \(3 + (x + 11)\), the brackets can be removed to re-write the expression as \(3 + x + 11\).
03

Combine like terms

To further simplify the expression, combine the like terms. In the re-written expression \(3 + x + 11\), the like terms are 3 and 11 (the numeric constants). When summed, they yield \(x + 14\).

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