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5\times 45+3x=300
Multiply both sides of the equation by 300, the least common multiple of 60,100.
225+3x=300
Multiply 5 and 45 to get 225.
3x=300-225
Subtract 225 from both sides.
3x=75
Subtract 225 from 300 to get 75.
x=\frac{75}{3}
Divide both sides by 3.
x=25
Divide 75 by 3 to get 25.