Solving for x in the Given Equation

The problem requires finding the value of variable $x$ based on the provided algebraic equation involving decimal numbers.

Simplify Equation Parts

First, simplify the terms within the parentheses:

• First term: $ (1 + 2 + \text{x}) = 3 + \text{x} $
• Second term: $ (0.12 - 0.42 + 0.94) $
  • Calculate $0.12 - 0.42 = -0.30$
  • Then, $-0.30 + 0.94 = 0.64$

Substitute and Calculate x

Now, substitute the simplified terms back into the original equation:

The equation becomes: $ (3 + \text{x}) - 0.64 = 4 $

Combine the constant terms:

$ 3 + \text{x} - 0.64 = 4 $

$ \text{x} + (3 - 0.64) = 4 $

$ \text{x} + 2.36 = 4 $

To find $x$, subtract 2.36 from both sides:

$ \text{x} = 4 - 2.36 $

$ \text{x} = 1.64 $

Final Answer

The value of x is $1.64$. This corresponds to Option A.