Number Quilt

Fill in each box in the grid with the numbers 1 to 7 so that each number appears exactly once in each row and column. The clues tell the sum of the numbers in the squares. For example, A12 = 6 means that the numbers in A1 and A2 add up to 6.



A56 = 8
C56 = 7
EFG4 = 9
G123 = 8
AB4 = 7
DE2 = 10
EF5 = 8
BC3 = 6
D34 = 10
EFG7 = 13
CD1 = 9
D67 = 8

Every step of the solution is logical. If you want a hint, here's what's in the starting box and why: