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7x+3>1+3x+14
Combine 6x and x to get 7x.
7x+3>15+3x
Add 1 and 14 to get 15.
7x+3-3x>15
Subtract 3x from both sides.
4x+3>15
Combine 7x and -3x to get 4x.
4x>15-3
Subtract 3 from both sides.
4x>12
Subtract 3 from 15 to get 12.
x>\frac{12}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x>3
Divide 12 by 4 to get 3.