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Chapter 1: Problem 59

Simplify each algebraic expression. $$5(3 x+2)-4$$

Short Answer

Expert verified
The simplified form of the given expression is \(15x + 6\).

Step by step solution

01

Apply the distributive property

The first step is to perform the distributive property, where 5 is multiplied with each term inside the parentheses. This yields \(5*3x+5*2\).
02

Multiply

Simply multiply the respective numbers. This will result in \(15x + 10\).
03

Subtract the constant

Subtract 4 from the expression obtained in the previous step, which yields \(15x + 10 - 4\).
04

Simplify

Perform the subtraction to simplify the expression, resulting in \(15x + 6\).

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