You get 28.5 as your answer.
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78-55 = 23
Add 14 to both sides. 3x = 2x + 23 Subtract 2x from both sides. x = 23 Check it. 3 x 23 - 14 = 55 2 x 23 + 9 = 55 It checks.
The total of 45 + 55 + 5 = 105
55 × sin 43 ÷ sin 23 ≈ 96
55