You could add an actor the same colour as the background colour, over the top of all of the text. If the coloured actor has a faded transparency at the left side, you can then move the actor to the right, gradually unveiling the text underneath it.
There might be a bit to work out with this method but with a bit of trial and error there should be a way to achieve what you're looking for.
just have whatveer rule you want to trigger the fade and have your image actor with the text onscreen with the alpha set to 0, all the way at the left.
Then whenever you want the fade in from left to right to happen, interpolate attribute self position x to 400 or somethign like that, and in the same rule interpolate self color alpha to 1. Make sure you set the interpolate behavior for the alpha to fade in from the drop down. And i would start the duration for both behaviors around 2 and go from there
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There might be a bit to work out with this method but with a bit of trial and error there should be a way to achieve what you're looking for.
Then whenever you want the fade in from left to right to happen, interpolate attribute self position x to 400 or somethign like that, and in the same rule interpolate self color alpha to 1. Make sure you set the interpolate behavior for the alpha to fade in from the drop down. And i would start the duration for both behaviors around 2 and go from there
cheers