Amplification in multistage amplifiers
would it matter if I had x10 in the first stage and x3 in the second as opposed to x6 and x5?

As far as total amplification goes, no, it would not matter.
However...
Multiple stages of amplification are often employed, not only to get a higher gain than from a single stage, but to give the combined amplifier the desired input and output impedances.
The input impedance should match the impedance of whatever transducer is feeding it. The output impedance should match the impedance of whatever the amplifier is driving.
When choosing how you wish to divide the work of amplification between your stages, you may wish to consider how to best achieve input and output impedance goals. You may even wish to consider using different amplifier configurations in each stage. CE, CC, and CB amplifiers all have different impedance characteristics.