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− 4 x + 2 ( x + 4 ) = −4x+2(x+4)= − 7 x − ( x + 1 ) −7x−(x+1)

User Verve
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1 Answer

1 vote

Answer: The solution to the equation
\(-4x + 2(x + 4) = -7x - (x + 1)\) is \(x = -(3)/(2)\).

Explanation:

To solve the equation
\(-4x + 2(x + 4) = -7x - (x + 1)\), you can follow these steps:

1. Expand the terms inside the parentheses:


\[ -4x + 2x + 8 = -7x - x - 1 \]

2. Combine like terms on both sides:


\[ -2x + 8 = -8x - 1 \]

3. Move all terms to one side to set the equation to zero:


\[ -2x + 8x = -8 - 1 \] \[ 6x = -9 \]

4. Solve for
\(x\):


\[ x = -(9)/(6) \] \[ x = -(3)/(2) \]

So, the solution to the equation
\(-4x + 2(x + 4) = -7x - (x + 1)\) is \(x = -(3)/(2)\).

User Mithilesh Gupta
by
8.2k points

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