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Find the missing number so that the equation has infinitely many solutions.\newline____x−13=−4x−13\_\_\_\_x - 13 = -4x - 13

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline____x−13=−4x−13\_\_\_\_x - 13 = -4x - 13
  1. Identify Condition: Identify the condition for infinitely many solutions.\newlineFor an equation to have infinitely many solutions, both sides of the equation must be identical. This means that the coefficients of the variable xx and the constant terms must be the same on both sides of the equation.
  2. Set Up Equation: Set up the equation with the missing number.\newlineThe given equation is ____x - 13 = -4x - 13. To have infinitely many solutions, the coefficient of xx on the left side must be the same as the coefficient of xx on the right side, which is −4-4.
  3. Determine Missing Number: Determine the missing number. Since the coefficients must be the same for the equation to have infinitely many solutions, the missing number is −4-4.

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