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The coefficient of x in the linear equat...

The coefficient of x in the linear equation 2(x+y)-x=7 is _________

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To find the coefficient of \( x \) in the linear equation \( 2(x+y) - x = 7 \), we will follow these steps: ### Step 1: Expand the equation Start with the original equation: \[ 2(x+y) - x = 7 \] Distribute the \( 2 \) across \( (x+y) \): \[ 2x + 2y - x = 7 \] ### Step 2: Combine like terms Now, combine the \( x \) terms: \[ (2x - x) + 2y = 7 \] This simplifies to: \[ x + 2y = 7 \] ### Step 3: Identify the coefficient of \( x \) In the simplified equation \( x + 2y = 7 \), the coefficient of \( x \) is the number that is multiplied by \( x \). Here, it is \( 1 \) (since \( x \) can be written as \( 1x \)). ### Final Answer Thus, the coefficient of \( x \) in the linear equation is: \[ \text{The coefficient of } x \text{ is } 1. \] ---
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