Boolean Algebra help?

Alright so I was given a problem that had a truth table of: ABCDX 0000 1 0001 1 0010 1 0011 1 0100 1 0101 0 0110 1 0111 0 1000 1 1001 1 1010 0 1011 0 1100 1 1101 0 1110 0 1111 0 I eventually reduced it down to ā(b+ opposite d) + a•opposite c(d+ opposite b) Can I reduce this anymore? show more Alright so I was given a problem that had a truth table of:
ABCDX
0000 1
0001 1
0010 1
0011 1
0100 1
0101 0
0110 1
0111 0
1000 1
1001 1
1010 0
1011 0
1100 1
1101 0
1110 0
1111 0

I eventually reduced it down to ā(b+ opposite d) + a•opposite c(d+ opposite b)

Can I reduce this anymore?
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