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4x + 2 = 4 If x satisfies the equation...

4x + 2 = 4
If x satisfies the equation above, what is the value of 2x + 1 ?

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The correct Answer is:
2

The left-hand side of the given equation contains a common factor of 2 and can be rewritten as 2(2x + 1). Dividing both sides of this equation by 2 yields 2x + 1 = 2. Therefore, the value of 2x + 1 is 2. Alternate approach: Subtracting 2 from both sides of the given equation yields 4x = 2. Dividing both sides of this equation by 4 yields `x=1/2`. Substituting `1/2` for x in the expression 2x+1 yields `2(1/2)+1=2`
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