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Such as 1/2x + 3/4 = 1/4 - 2x ?

Get rid of the fractions unless you like working with fractions: multiply by 4 (the LCD)

2x + 3 = 1 - 8x

Get all x terms on one side, constants on the other:

2x + 8x = 1 - 3

Combine: 10x = -2

Divide by 10: x = -2/10

Simplify: x = -1/5

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