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The equation and 2x + 2 = 0 have the sam...

The equation________ and `2x + 2 = 0` have the same solution.

A

`x-1 = 0`

B

`x + 1 =0`

C

`x -2 =0`

D

`x +2=0`

Text Solution

AI Generated Solution

The correct Answer is:
To find an equation that has the same solution as \(2x + 2 = 0\), we will first solve the given equation for \(x\). ### Step-by-step Solution: 1. **Start with the equation**: \[ 2x + 2 = 0 \] 2. **Isolate the term with \(x\)**: To do this, subtract \(2\) from both sides of the equation: \[ 2x = 0 - 2 \] This simplifies to: \[ 2x = -2 \] 3. **Solve for \(x\)**: Now, divide both sides by \(2\) to isolate \(x\): \[ x = \frac{-2}{2} \] Simplifying this gives: \[ x = -1 \] 4. **Formulate a new equation**: Since we need an equation that has the same solution \(x = -1\), we can express this as: \[ x + 1 = 0 \] ### Final Answer: The equation that has the same solution as \(2x + 2 = 0\) is: \[ x + 1 = 0 \]
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