I cannot get Virtualbox to install properly on my 12.04. I first went with a manual install for the .deb from the old builds section of the Virtualbox page. That .deb opened up the Software Center and installed. Then I got the error coming up of

VT-x/AMD-V hardware acceleration is not available on your system. Your 64-bit guest will fail to detect a 64-bit CPU and will not be able to boot.

which I can only assume was due to my Ubuntu version being 32-bit (System Details -> Overview -> OC type: 32-bit, right?) So I followed these instructions to remove the .deb manually, restarted my laptop, and then FOUND the actual Virtualbox install in the Software Center and installed from that (assuming it would give me the correct version I need for my system)

So after all that (and then some), I'm still getting the same error when I connect to my new job's project in Virtualbox.

Can anyone point me in the right direction of what to do here? This is the first time I've ever worked with Virtualbox, and no one at this company is using Ubuntu, so I'm on my own here.

EDIT: Here is the direct info from running the 2 suggested commands

Inspiron-1750-brick:~ $lscpu
Architecture:          i686
CPU op-mode(s):        32-bit, 64-bit
Byte Order:            Little Endian
CPU(s):                2
On-line CPU(s) list:   0,1
Thread(s) per core:    1
Core(s) per socket:    2
Socket(s):             1
Vendor ID:             GenuineIntel
CPU family:            6
Model:                 23
Stepping:              10
CPU MHz:               2100.000
BogoMIPS:              4189.45
L1d cache:             32K
L1i cache:             32K
L2 cache:              2048K

Inspiron-1750-brick:~ $cat /proc/cpuinfo
processor : 0
vendor_id : GenuineIntel
cpu family  : 6
model   : 23
model name  : Intel(R) Core(TM)2 Duo CPU     T6500  @ 2.10GHz
stepping  : 10
microcode : 0xa07
cpu MHz   : 1200.000
cache size  : 2048 KB
physical id : 0
siblings  : 2
core id   : 0
cpu cores : 2
apicid    : 0
initial apicid  : 0
fdiv_bug  : no
hlt_bug   : no
f00f_bug  : no
coma_bug  : no
fpu   : yes
fpu_exception : yes
cpuid level : 13
wp    : yes
flags   : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe nx lm constant_tsc arch_perfmon pebs bts aperfmperf pni dtes64 monitor ds_cpl est tm2 ssse3 cx16 xtpr pdcm sse4_1 xsave lahf_lm dtherm
bogomips  : 4189.80
clflush size  : 64
cache_alignment : 64
address sizes : 36 bits physical, 48 bits virtual
power management:

processor : 1
vendor_id : GenuineIntel
cpu family  : 6
model   : 23
model name  : Intel(R) Core(TM)2 Duo CPU     T6500  @ 2.10GHz
stepping  : 10
microcode : 0xa07
cpu MHz   : 1200.000
cache size  : 2048 KB
physical id : 0
siblings  : 2
core id   : 1
cpu cores : 2
apicid    : 1
initial apicid  : 1
fdiv_bug  : no
hlt_bug   : no
f00f_bug  : no
coma_bug  : no
fpu   : yes
fpu_exception : yes
cpuid level : 13
wp    : yes
flags   : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe nx lm constant_tsc arch_perfmon pebs bts aperfmperf pni dtes64 monitor ds_cpl est tm2 ssse3 cx16 xtpr pdcm sse4_1 xsave lahf_lm dtherm
bogomips  : 4189.45
clflush size  : 64
cache_alignment : 64
address sizes : 36 bits physical, 48 bits virtual
power management: