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4\times 7x+2x-x=88
Multiply both sides of the equation by 8, the least common multiple of 2,4,8.
28x+2x-x=88
Multiply 4 and 7 to get 28.
30x-x=88
Combine 28x and 2x to get 30x.
29x=88
Combine 30x and -x to get 29x.
x=\frac{88}{29}
Divide both sides by 29.