Which expression is the simplified form of \( -10+3 x-x-7 x+5 x+7+2 x \) ? A. \( 4 x-3 \) B. \( 2 x-3 \) C. \( -18 x-17 \) D. \( -x \)

To simplify the expression \( -10 + 3x - x - 7x + 5x + 7 + 2x \), we first combine like terms. For the \( x \) terms: \[ 3x - x - 7x + 5x + 2x = (3 - 1 - 7 + 5 + 2)x = 2x \] For the constant terms: \[ -10 + 7 = -3 \] Now, putting it all together gives us: \[ 2x - 3 \] So, the answer is \( B. \, 2x - 3 \). As a fun fact, polynomial simplifications can often feel like organizing a messy drawer: it's all about sorting through the chaos and finding what belongs together! With enough practice, it becomes second nature to combine like terms quickly. Another interesting thing to note is that in algebra, the order of operations (PEMDAS/BODMAS) plays a crucial role. It’s always a good reminder that while simplifying expressions, handling parentheses first can help avoid common mistakes!