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simplify the following. 2) 5(x - 4) + 2 1x - 32

Question

simplify the following. 2) 5(x - 4) + 2 1x - 32

Explanation:

Step1: Distribute the 5

We have the expression \(5(x - 4)+2\). First, we use the distributive property \(a(b - c)=ab - ac\) where \(a = 5\), \(b=x\) and \(c = 4\). So we get \(5\times x-5\times4 + 2\) which simplifies to \(5x-20 + 2\).

Step2: Combine like terms

Now we combine the constant terms \(-20\) and \(+2\). \(-20+2=-18\). So the simplified expression is \(5x-18\).

Answer:

\(5x - 18\)