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

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