The expression 2x(y-1)-7xy+2x

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To simplify the expression 2x(y-1) - 7xy + 2x, follow these steps:

Step 1: Distribute the 2x to the terms inside the parentheses (y-1):
2x * y = 2xy
2x * (-1) = -2x
So, the expression becomes: 2xy - 2x - 7xy + 2x.

Step 2: Simplify like terms: Combine the terms that have the same variables raised to the same powers.
2xy - 7xy = -5xy (subtract the coefficients)
-2x + 2x = 0 (the x terms cancel out)

The simplified expression is -5xy + 0. Since the second term is 0, it can be dropped, so the final simplified expression is -5xy.

Therefore, the simplified expression for 2x(y-1) - 7xy + 2x is -5xy.