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Classify the equation, 5(11x + 7) = 55x-3, as having one solution, no solution, or infinitely many solutions.

The equation has

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5 votes

Final answer:

To classify the equation, we need to simplify and solve for x. By subtracting 55x from both sides, we find that there is no solution to the equation.


Step-by-step explanation:

To classify the equation 5(11x + 7) = 55x-3, we need to simplify and solve for x. First, distribute the 5 on the left side of the equation: 55x + 35 = 55x - 3. Notice that the variable x appears on both sides of the equation. This means that the equation has infinitely many solutions or it is an identity. To prove this, we can subtract 55x from both sides and get 35 = -3. Since this is not true, there is no solution to the equation.


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