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Chapter 1: Problem 62

Simplify each algebraic expression. $$14+2(5 x-1)$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(14+2(5x-1)\) is \(10x+12\).

Step by step solution

01

Distribute

We begin by distributing 2 across the terms inside the parenthesis. So it becomes \(14 + 2*5x - 2*1\) which is \(14 + 10x - 2\).
02

Combine constant terms

Next, combine the constant terms (14 and -2). This results in \(12 + 10x\).
03

Rewrite by convention

By convention, the term with the variable (x) usually comes first, so write it as \(10x + 12\) .

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