7) \( \frac{\frac{3}{3}-6}{10+\frac{4}{x}}= \)

Let's simplify the given expression step by step: \[ \frac{\frac{3}{3} - 6}{10 + \frac{4}{x}} \] **Step 1: Simplify the Numerator** \[ \frac{3}{3} - 6 = 1 - 6 = -5 \] So, the expression becomes: \[ \frac{-5}{10 + \frac{4}{x}} \] **Step 2: Simplify the Denominator** To combine the terms in the denominator, it's helpful to have a common denominator: \[ 10 + \frac{4}{x} = \frac{10x}{x} + \frac{4}{x} = \frac{10x + 4}{x} \] **Step 3: Combine Numerator and Denominator** Now, the expression is: \[ \frac{-5}{\frac{10x + 4}{x}} = -5 \times \frac{x}{10x + 4} = \frac{-5x}{10x + 4} \] **Step 4: Simplify Further (Optional)** You can factor out a common term from the denominator if desired: \[ 10x + 4 = 2(5x + 2) \] So, the expression becomes: \[ \frac{-5x}{2(5x + 2)} \] **Final Simplified Form:** \[ \frac{\frac{3}{3} - 6}{10 + \frac{4}{x}} = \frac{-5x}{10x + 4} \] Or, factoring the denominator: \[ \frac{-5x}{2(5x + 2)} \]