Math Problem Statement

-2+7x+9+(-10x)

Solution

Let's simplify the expression:

2+7x+9+(10x)-2 + 7x + 9 + (-10x)

Step-by-step:

  1. Combine the constant terms: 2+9=7-2 + 9 = 7.
  2. Combine the variable terms: 7x+(10x)=3x7x + (-10x) = -3x.

So the simplified expression becomes:

73x7 - 3x

Would you like further explanation on any step or additional details?

Here are five related questions to extend your understanding:

  1. How would you solve the equation if this expression were set equal to zero?
  2. What happens to the result if you change the signs of the terms involving xx?
  3. Can you factor the expression 73x7 - 3x?
  4. How would you represent this expression on a graph?
  5. How does this expression change if x=0x = 0?

Tip: Always combine like terms (constants with constants and variables with variables) when simplifying algebraic expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions

Formulas

Combining like terms: a + b
Combining variable terms: ax + bx

Theorems

None (basic algebraic principles)

Suitable Grade Level

Grades 6-8