Question

1. \\(\frac{1}{4}(16x - 20) + 4x\\)

Explanation:

Step1: Distribute the fraction

We use the distributive property \(a(b + c)=ab+ac\) to expand \(\frac{1}{4}(16x - 20)\). So we have \(\frac{1}{4}\times16x-\frac{1}{4}\times20\). Calculating each term: \(\frac{1}{4}\times16x = 4x\) and \(\frac{1}{4}\times20=5\). So the expression becomes \(4x - 5+4x\).

Step2: Combine like terms

Now we combine the \(x\) terms. We have \(4x+4x - 5\). Combining \(4x\) and \(4x\) gives \(8x\). So the simplified expression is \(8x - 5\).

Answer:

\(8x - 5\)