Problem 62
Question
Simplify each algebraic expression. $$14+2(5 x-1)$$
Step-by-Step Solution
Verified Answer
The simplified form of the algebraic expression \(14+2(5x-1)\) is \(10x+12\).
1Step 1: Distribute
We begin by distributing 2 across the terms inside the parenthesis. So it becomes \(14 + 2*5x - 2*1\) which is \(14 + 10x - 2\).
2Step 2: Combine constant terms
Next, combine the constant terms (14 and -2). This results in \(12 + 10x\).
3Step 3: Rewrite by convention
By convention, the term with the variable (x) usually comes first, so write it as \(10x + 12\) .
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