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We can use the [[

`SubstitutedSum()`

]] solver from theenigma.pylibrary to solve this puzzle. While it can cope with using the digits as symbols (which cannot stand for themselves). I think it is easier to understand if we replace the digits 1, 4, 7, 8 by the symbols A, B, C, D and solve the equivalent sum: BDA + BDB = CBC.The following run file executes in 137ms.

Run:[ @repl.it ]Solution:The correct sum is: 263 + 262 = 525.