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McGraw Hill Integrated II, 2012 View details

1. Angles of Triangles

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Exercise 54 Page 343

Simplify the left hand side.

G

Practice makes perfect

We are asked to find an equivalent form of the following equation. 7x-3(2-5x)=8x Since the right hand side of three of the options is also 8x, we rearrange the left hand side to see if we can match the left hand side of any of the options.

7x-3(2-5x)=8x

Distr

Distribute 3

7x-(6-15x)=8x

DistrNegSignSwap

-(b-a)=a-b

7x+15x-6=8x

AddTerms

Add terms

22x-6=8x

Notice, that this is the equation in option G, so the correct answer choice is G.