Learning chords may seem tricky and confusing, especially for beginners. Don't despair, once you understand how these chords are related and their respective patterns, you'll see that chords aren't so hard to learn after all.
A major 7th chord is formed by playing the root (1st) + 3rd + 5th + 7th notes of a major scale. A dominant 7th is formed by simply lowering the 7th note a half step.
As an example, Cmaj7 = C - E - G - B (7th note). Lower the 7th note a half step, from B to Bb, thus Dominant 7th = C - E - G - Bb.
Here are the dominant 7th chords in every key:
C7 = C - E - G - Bb
D7 = D - F# - A - C
E7 = E - G# - B - D
F7 = F - A - C - Eb
G7 = G - B - D - F
A7 = A - C# - E - G
B7 = B - D# - F# - A
C#7 = C# - E# (F) - G# - B
Db7 = Db - F - Ab - B
Eb7 = Eb - G - Bb - Db
F#7 = F# - A# - C# - E
Gb7 = Gb - Bb - Db - E
Ab7 = Ab - C - Eb - Gb
Bb7 = Bb - D - F - Ab

