Math Problem Statement

7(2+3x)

Solution

To simplify the expression 7(2+3x)7(2 + 3x), follow the distributive property:

7(2+3x)=72+73x7(2 + 3x) = 7 \cdot 2 + 7 \cdot 3x

This gives:

7(2+3x)=14+21x7(2 + 3x) = 14 + 21x

So, the simplified expression is:

14+21x14 + 21x

Would you like further details or have any questions about this?

Here are 5 related questions:

  1. How do you solve for xx in the equation 7(2+3x)=357(2 + 3x) = 35?
  2. What is the value of 7(2+3x)7(2 + 3x) when x=2x = 2?
  3. How does the distributive property work in more complex expressions?
  4. How would you factor an expression like 14+21x14 + 21x?
  5. Can the expression 7(2+3x)7(2 + 3x) represent a line in coordinate geometry?

Tip: Always remember to distribute multiplication to every term inside the parentheses!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8