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.
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