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931x+76=49\left(6\times 19+2\right)
Multiply both sides of the equation by 931, the least common multiple of 49,19.
931x+76=49\left(114+2\right)
Multiply 6 and 19 to get 114.
931x+76=49\times 116
Add 114 and 2 to get 116.
931x+76=5684
Multiply 49 and 116 to get 5684.
931x=5684-76
Subtract 76 from both sides.
931x=5608
Subtract 76 from 5684 to get 5608.
x=\frac{5608}{931}
Divide both sides by 931.