Problem

7. Solve for $x$ in the following equation.
\[
2 x=-4\left(\frac{1}{4}-\frac{3}{4} x\right)+4
\]

Answer

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Answer

Solve for x: \(x = \boxed{-3}\)

Steps

Step 1 :Simplify the equation by distributing the -4 to the terms inside the parentheses: \(2x = -4(\frac{1}{4} - \frac{3}{4}x) + 4\)

Step 2 :Combine like terms: \(2x = 3x + 3\)

Step 3 :Solve for x: \(x = \boxed{-3}\)

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