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The line x = 1 is vertical line in coordinate plane, parallel to y-axis.
This line passes through the point x=1 of x-axis and has x-coordinates of all its points equal to 1.
The point P=(-2,7) lies 3 units to the left from the line x=1.
Therefore, its image after reflection lies 3 units to the right from the line x=1.
Thus x-coordinate of the image is 1+3 = 4.
y-coordinate of the image is the same as for the original point y=7.
Thus the answer is: the image of the point P=(-2,4) after reflection about the line x=1 is the point Q=(4,7).