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Simpuity: \( 3(2 x-6)+x \) A. \( 6 x-18 \) B. \( 7 x-6 \) c. \( 7 x-18 \) D. \( 8 x-6+x \)

Ask by Vega Nunez. in the United States
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified expression is \( 7x - 18 \), which is option C.

Solution

Let's simplify the expression step by step: Start with the given expression:   3(2x - 6) + x Step 1: Distribute the 3:   3 × 2x = 6x   3 × (-6) = -18 This gives:   6x - 18 + x Step 2: Combine like terms (6x + x):   6x + x = 7x So, the simplified expression is:   7x - 18 This corresponds to option C.

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Bonus Knowledge

To simplify the expression \( 3(2x - 6) + x \), start by distributing the 3 inside the parentheses: \( 3 \cdot 2x - 3 \cdot 6 + x = 6x - 18 + x \). Now combine like terms: \( 6x + x - 18 = 7x - 18 \). So the answer is \( 7x - 18 \), which corresponds to option C. Choosing the right option is like a fun puzzle! Think of simplification as tidying up your room — putting things in order makes everything easier to find. In mathematics, simplifying makes equations cleaner and helps reveal the underlying relationships! If you're ever stuck on a similar problem, remember to double-check your distribution and all combining like terms. A common mistake is to forget about the multiplication step or to lose track of the negative signs — those little distractions can lead you astray!

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