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A triangle has side lengths of $(10 w+9)$ centimeters, $(5 w-3)$ centimeters, and $(8 x+10)$ centimeters. Which expression represents the perimeter, in centimeters, of the triangle?$\newline$$21 w+18 x$$\newline$$8 x+15 w+16$$\newline$$18 x+6+15 w$$\newline$$18 x+19 w+2$