NO. If you have a pci-x slot, probably it is a server, and you
want to upgrade your graphics card, you can buy a PCI card and plug
it into your PCI-X slot. It should work probably.
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A PCI express x16 is faster than an x1. An x16 has 16 'lanes'
while the x1 has only 1.
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No I don't think so. PCI-X is older than AGP which is older than
PCIe
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No, it's not. PCI-E 1x is compatible with PCI-E x4, x8, x16.
PCI-E 4x is compatible with x8, x16 and so on.