Given that \(\displaystyle\displaystyle \displaystyle\int_{-6}^{3} \mathrm{f}(x) \, \mathrm{d}x = 6\), evaluate \(\displaystyle\displaystyle \displaystyle\int_{-6}^{-3} \mathrm{f}(x) - 1 \, \mathrm{d}x + \displaystyle\displaystyle \displaystyle\int_{-3}^{3} \mathrm{f}(x) \, \mathrm{d}x\).
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