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4-14.
  1. Simplify each of the following equations and solve for x. Show all work and check your solution. Homework Help ✎

    1. 7 − 3x = − x + 1

    2. 2 3x = − (x + 6)

Flip subtraction to addition.

7 + −3x = −x + 1

Now you have to choose!

Add x to both sides.

Subtract 7 from both sides.

Flip to positive.

7 + −2x = 1

−2x = −6

2x = 6

Add 3x to both sides.

Subtract 1 from both sides.

7 = 2x +1

2x = 6

Divide by 2 on both sides.

x = 3

Check your work! Substitute your answer into the original equation.

See the hints in part (a).

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