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Chapter 3: Q53. (page 127)

Simplify the expression. (Lesson 2.3)

3(2x-7)+8(4-x)

Short Answer

Expert verified

The simplified expression is2x+11 .

Step by step solution

01

– Use distributive property

The distributive property is given asa(b+c)=ab+ac.

The given expression is3(2x鈭�7)+8(4鈭�x) .

So,3(2x鈭�7)+8(4鈭�x)=6x鈭�21+32鈭�8x[distributiveproperty]

02

– Combine the like terms

3(2x鈭�7)+8(4鈭�x)=6x鈭�8x+32鈭�21[groupliketerms]=2x+11[combineliketerms]

03

– Conclusion 

Therefore, the simplified expression is 2x+11.

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