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15\times 1645=7x
Multiply both sides of the equation by 105, the least common multiple of 7,15.
24675=7x
Multiply 15 and 1645 to get 24675.
7x=24675
Swap sides so that all variable terms are on the left hand side.
x=\frac{24675}{7}
Divide both sides by 7.
x=3525
Divide 24675 by 7 to get 3525.