Step 1 :Simplify the equation by removing the negative sign from the denominator and the parentheses from the numerator to get \(-4 = \frac{7x + 2}{8}\).
Step 2 :Multiply both sides of the equation by -8 to isolate the term with x on one side of the equation to get \(32 = 7x + 2\).
Step 3 :Solve for x by adding -2 to both sides of the equation to get \(30 = 7x\).
Step 4 :Finally, divide both sides by 7 to solve for x, yielding the final answer: \(x = \boxed{\frac{30}{7}}\).