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7. -8(1 + x) + 7x

Question

  1. -8(1 + x) + 7x

Explanation:

Step1: Distribute -8

Using the distributive property \(a(b + c)=ab+ac\), we have \(-8(1 + x)=-8\times1+(-8)\times x=-8 - 8x\).
So the expression becomes \(-8 - 8x+7x\).

Step2: Combine like terms

Combine the \(x\)-terms: \(-8x + 7x=-x\).
So the simplified expression is \(-8 - x\).

Answer:

\(-8 - x\)