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5. \( 7 x+2-5 x+3 \)

Ask by Tyler Burgess. in the United States
Feb 20,2025

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The simplified expression is \(2x+5\).

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The Deep Dive

First, let's simplify the expression step by step! We start with \( 7x + 2 - 5x + 3 \). Combining like terms, we group the \( x \)-terms together: \( (7x - 5x) + (2 + 3) \). This gives us \( 2x + 5 \). So, the simplified expression is \( 2x + 5 \). Next up, let's consider real-world applications of linear expressions like the one we just simplified. For instance, say you’re tracking your progress in a fitness program. If you start with 7 miles in the first week and plan to reduce by 5 miles while adding 3 more miles in the second week, using an expression like this can help you calculate your total distance over time, making it practical for setting and adjusting personal goals!

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