Math Problem Statement
Simplify the algebraic expression: 2(x + 9) - 7x + 4.
Solution
The equation in the image is:
Let’s solve and simplify this step by step.
Step 1: Distribute the 2 across the terms inside the parentheses.
So the expression becomes:
Step 2: Combine like terms.
- Combine and :
- Combine and :
Now, the expression simplifies to:
Final Answer:
The simplified form of the expression is:
Would you like more details, or do you have any other questions?
Here are 5 related questions:
- How do you solve equations with parentheses and distribution?
- How do you combine like terms in algebraic expressions?
- What are the steps to factor a linear expression like ?
- Can this expression be set equal to zero and solved for ?
- How does the order of operations affect simplifying algebraic expressions?
Tip: Always distribute before combining like terms when simplifying expressions involving parentheses.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification
Distribution
Combining Like Terms
Formulas
Distribution: a(b + c) = ab + ac
Theorems
-
Suitable Grade Level
Grades 6-8