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An equation cannot exist (has no meaning) without an '=' sign. Therefore, and somewhat simplistically, an equation MEANS that, for specific instances, the entities on both sides of the '=' sign are in balance (equal in worth). Example 1: x + 2 = 5; means there is a value of 'x' which when substituted into the entity 'x + 2' will make it equal in value to what's on the other side of '=', ie: 5. In this example the balance is achieved when and only when x has the value 3. Example 2: x2 + 5x - 8 = 66 (where x2 represents x-squared) means there are > 1 value of 'x' which when substituted into the entity 'x2 + 5x - 8' wll make it equal in value to 66. In this example the values of x ('+' and '-'values) can be determined iteratively or by using the quadratic formula. Hope this helps.

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