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Identify equivalent expressions

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Learn it Two expressions are equivalent if they are equal for every value of x. Expand or factor one to see if it matches the other.

Example: Is $4(x - 3)$ equivalent to $4x - 12$?

  1. Expand: $4 \times x - 4 \times 3 = 4x - 12$.
  2. They match, so yes.
  3. Check with a number: x = 5 gives 8 both ways.

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