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To solve the equation, let's start by distributing the -5 on the left side:
-5(x - 1) = 5 - 5x
-5x + 5 = 5 - 5x
Now, let's simplify the equation:
-5x + 5 = 5 - 5x
Since the variable terms are on both sides of the equation, we can add 5x to both sides to eliminate the variable terms on the right side:
-5x + 5 + 5x = 5 - 5x + 5x
Combine like terms:
5 = 5
In this case, we obtained a true statement (5 = 5), which means that the equation holds true for any value of x. Therefore, the equation has an infinite number of solutions.