Answer:
24x - 19
Explanation:
Here are the steps to simplify the expression 4 + 8 (3x - 2 ) - 7:
Apply the order of operations
The order of operations is a set of rules that dictate the order in which operations should be performed in a mathematical expression. The order of operations is as follows:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplify the parentheses
Using the order of operations, we can simplify the parentheses first:
4 + 8 (3x - 2 ) - 7
= 4 + 24x - 16 - 7
Combine like terms
Next, we can combine like terms. Like terms are terms that have the same variable and the same exponent. In this expression, the like terms are 24x and -16.
4 + 24x - 16 - 7
= 4 + 24x - 23
Simplify the expression
Finally, we can simplify the expression by combining the remaining terms:
4 + 24x - 23
= 24x - 19
Therefore, the simplified expression is 24x - 19.