If R is the midpoint of PS, then PR = RS -- (1)
Also, PR + RS = PS -- (2)
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PR + RS = PS
7x + 23 + 13x - 19 = PS
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Now, PR = PS
7x + 23 = 13x - 19
7x - 13x = -19 - 23
-6x = -42
x = -42/-6
x = 7
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PS = 7x + 23 + 13x - 19
PS = 7(7) + 23 + 13(7) - 19
PS = 49 + 23 + 91 - 19
PS = 144
Hope it helps!
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