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Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x−34x + \_\_\_\_ = 4x - 3

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Q. Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x−34x + \_\_\_\_ = 4x - 3
  1. Identify Equation Pattern: When an equation has infinitely many solutions, it means that both sides of the equation are identical for all values of the variable. In this case, we want the left side of the equation to be identical to the right side.
  2. Determine Missing Number: The equation is 4x + ____ = 4x - 3. Since we want the equation to have infinitely many solutions, the missing number must be such that the constant term on the left side is equal to the constant term on the right side.
  3. Ensure Equality of Constant Terms: The constant term on the right side of the equation is −3-3. Therefore, the missing number on the left side must also be −3-3 to make the equation have infinitely many solutions.

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