Math Problem Statement

Click and drag like terms onto each other to simplify fully: 1 - 4x - 3 + 2x - 2

Solution

The expression shown in the image is:

14x3+2x21 - 4x - 3 + 2x - 2

Steps to simplify:

  1. Group the constant terms and variable terms separately: (132)+(4x+2x)(1 - 3 - 2) + (-4x + 2x)

  2. Simplify the constants: 132=41 - 3 - 2 = -4

  3. Simplify the variable terms: 4x+2x=2x-4x + 2x = -2x

  4. Combine everything: 2x4-2x - 4

So, the simplified expression is:

2x4-2x - 4

Would you like any further details or explanations?

Here are some related questions for further practice:

  1. How would you simplify the expression 3x5+2x63x - 5 + 2x - 6?
  2. Can you identify the like terms in the expression 7y+32y97y + 3 - 2y - 9?
  3. What is the simplified form of 54x+7x+95 - 4x + 7x + 9?
  4. How would you handle simplification if there were exponents, like 2x2+3x24x2x^2 + 3x^2 - 4x?
  5. Can you rewrite and simplify the expression 3(x1)+2x-3(x - 1) + 2x?

Tip: Always group like terms (those with the same variable and exponent) together before simplifying an expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions

Formulas

Combining like terms

Theorems

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Suitable Grade Level

Grades 6-8