We investigate the hydrodynamic expansion and x-ray emission of a laser-heated buried-layer target. This work is motivated by our interest in developing an experimental platform for probing plasma properties under relatively uniform conditions, such as ionization and equation of state. Targets consist of a few thousand angstrom-thick layer of material, embedded in a few microns of the tamper material (typically beryllium), which are irradiated on both sides by an intense few-nanosecond laser pulse. The expansion and emission of our target, composed of a homogeneous mixture of iron, vanadium, and gold, are simulated using the 2-D LASNEX code. Reasonable agreement is found with the time history of the x-ray emission traces (DANTE). Both experiments and simulations exhibit an interesting reduction in the radial size of the emission region with time, as measured using face-on imaging. This is shown to be due to the ablation of the beryllium tamper, which affects the radial confinement of the embedded target. Simulations using a larger diameter beryllium tamper are found to mitigate this effect, improving the one-dimensionality of the expansion.