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does 5x + 5 = 5 (2x + 2) have no solutions

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The equation 5x + 5 = 5(2x + 2) simplifies to 5x + 5 = 10x + 10. We can further simplify it by subtracting 5x from both sides, yielding 5 = 5x + 10. Then, if we subtract 10 from both sides, we get -5 = 5x. If we divide both sides by 5, we obtain -1 = x.

Therefore, the equation does have a solution, x = -1.
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