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Solve : 7-5x=5 - 7x...

Solve : `7-5x=5 - 7x`

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To solve the equation \( 7 - 5x = 5 - 7x \), we will follow these steps: ### Step 1: Rearranging the equation We start with the equation: \[ 7 - 5x = 5 - 7x \] We want to get all the terms involving \( x \) on one side and the constant terms on the other side. ### Step 2: Move \( -7x \) to the left side To do this, we can add \( 7x \) to both sides: \[ 7 - 5x + 7x = 5 \] This simplifies to: \[ 7 + 2x = 5 \] ### Step 3: Move the constant term to the right side Next, we will subtract \( 7 \) from both sides: \[ 2x = 5 - 7 \] This simplifies to: \[ 2x = -2 \] ### Step 4: Solve for \( x \) Now, we divide both sides by \( 2 \): \[ x = \frac{-2}{2} \] This gives us: \[ x = -1 \] ### Final Answer Thus, the solution to the equation \( 7 - 5x = 5 - 7x \) is: \[ x = -1 \] ---
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