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A smoothing bra is your best option to prevent lines from showing. Look for a smoothing bra that has wide wings and minimal hardware.
A wireless bras is a great bra style for minimal lines. Try a wireless bra with foam padding for nipple modesty. A full coverage wireless bra with smoothing wings will prevent any bulging.
A t-shirt bra with sturdy foam cups is another great option. The foam cups help provide shaping and modesty. Look for a t-shirt bra with smoothing wings for additional back smoothing.