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To simplify the expression 19 + 6x - 10x + 5^2, we first combine like terms:
6x - 10x can be simplified to -4x.
So, the expression becomes 19 - 4x + 5^2.
Next, we evaluate 5^2, which is equal to 25.
Therefore, the expression simplifies to 19 - 4x + 25.
Finally, rearranging the terms, we get -4x + 19 + 25.
The coefficient of x is -4.