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