R4C4 can only be <7>

R5C3 can only be <6>

R8C2 can only be <4>

R8C8 can only be <8>

R8C1 can only be <2>

R8C9 can only be <6>

R1C9 is the only square in row 1 that can be <2>

R2C2 is the only square in row 2 that can be <3>

R1C6 is the only square in row 1 that can be <3>

R3C1 is the only square in row 3 that can be <6>

R5C4 is the only square in row 5 that can be <2>

R9C7 is the only square in column 7 that can be <3>

R9C9 is the only square in row 9 that can be <4>

Squares R4C1 and R6C1 in column 1 form a simple locked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C1 - removing <49> from <45789> leaving <578>

R2C1 - removing <9> from <589> leaving <58>

R7C1 - removing <9> from <15789> leaving <1578>

R9C1 - removing <9> from <15789> leaving <1578>

R2C8 is the only square in row 2 that can be <9>

Squares R3C5 and R5C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R6C5 - removing <5> from <3459> leaving <349>

R7C5 - removing <8> from <89> leaving <9>

Squares R9C4 and R9C6 in row 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C1 - removing <8> from <1578> leaving <157>

R9C3 - removing <8> from <789> leaving <79>

Intersection of row 9 with block 7. The values <79> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.

R7C1 - removing <7> from <1578> leaving <158>

R7C3 - removing <7> from <78> leaving <8>

Squares R1C2 and R9C2 in column 2 and R1C8 and R9C8 in column 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 1 and 9 can be removed.

R1C1 - removing <5> from <578> leaving <78>

R9C1 - removing <5> from <157> leaving <17>

R1C4 - removing <5> from <58> leaving <8>

R1C7 - removing <5> from <1457> leaving <147>

R1C1 can only be <7>

R9C4 can only be <6>

R3C5 can only be <5>

R5C5 can only be <8>

R5C6 can only be <1>

R5C7 can only be <5>

R4C6 can only be <9>

R6C9 can only be <3>

R6C5 can only be <4>

R4C9 can only be <1>

R9C6 can only be <8>

R6C4 can only be <5>

R9C1 can only be <1>

R3C3 can only be <4>

R3C7 can only be <7>

R1C3 can only be <9>

R3C9 can only be <8>

R7C7 can only be <1>

R2C9 can only be <5>

R4C1 can only be <4>

R6C6 can only be <6>

R6C1 can only be <9>

R4C5 can only be <3>

R7C1 can only be <5>

R1C7 can only be <4>

R9C8 can only be <5>

R9C2 can only be <9>

R1C8 can only be <1>

R7C9 can only be <7>

R1C2 can only be <5>

R9C3 can only be <7>

R2C1 can only be <8>