If you can run a scroll saw you can run a sewing machine. It takes similar hand-eye coordination.
You can get older Singer and other machines that sew 4 & 5 layers of heavy fabric with care. It just depends on what Household sewing machine you're talking about.
I've sewed 4 layers of Upholstery and French seams in Denim fabric on a 1948 Singer 201-2.
This is not a treadle machine but it is built like a tank.
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1959 M35A2 LDT465-1D SOLD
1967 Dodge W200 B383, NP420/NP201 SOLD
1969 Dodge Polara 500 B383, A833 SOLD
1972 Ford F250 FE390, NP435/NP205 SOLD
1976 Chevy K20, 6.5L, NV4500/NP208 SOLD
1986 M1008 CUCV SOLD
2000 GMC C2500, TD6.5L, NV4500
2005 Chevy Silverado LS 2500HD 6.0L 4L80E/NP263
2009 Impala SS LS4 V8
RTFM... GM Parts Books, GM Schematics, GM service manuals, and GM training materials...
Please include at least the year and model in your threads. It'll be easier to answer your questions.
And please let us know if and how your repairs were successful.