Final answer:
The value of the expression 2 x {6 + [12 + (3 + 1)]} - 1 is calculated by solving the operations inside the parentheses, brackets, and curly braces in sequence and then multiplying and subtracting as directed, resulting in a final value of 43.
Step-by-step explanation:
To find the value of the expression 2 x {6 + [12 + (3 + 1)]} - 1, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
- First, handle the innermost parentheses: (3 + 1) = 4.
- Next, deal with the brackets: [12 + 4] = 16.
- Now, move to the curly braces: {6 + 16} = 22.
- Then multiply by 2: 2 x 22 = 44.
- Finally, subtract 1: 44 - 1 = 43.
Thus, the value of the expression is 43.