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You don't solve the expression. You simplify it!
x/4 - x/7
The LCD of the expression is 28. Multiply the top and the bottom of each fraction by its missing factor in the denominator. Then, combine the fractions and simplify to get:
x/4 * 7/7 - x/7 * 4/4
= (7x - 4x)/21
= 3x/21
= x/7
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