To solve this equation, you can simplify both sides first.

On the left side, you can distribute the 1 to both terms inside the parentheses:
2(2x) + 2(-5.5) = 7.05
4x - 11 = 7.05

Now, you can isolate the variable x by adding 11 to both sides:
4x = 7.05 + 11
4x = 18.05

Finally, divide by 4 to solve for x:
x = 18.05 / 4
x = 4.5125

Therefore, the value of x is 4.5125.