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\left(7\times 7+2\right)x+1323+3164=14000+7x
Multiply both sides of the equation by 7.
\left(49+2\right)x+1323+3164=14000+7x
Multiply 7 and 7 to get 49.
51x+1323+3164=14000+7x
Add 49 and 2 to get 51.
51x+4487=14000+7x
Add 1323 and 3164 to get 4487.
51x+4487-7x=14000
Subtract 7x from both sides.
44x+4487=14000
Combine 51x and -7x to get 44x.
44x=14000-4487
Subtract 4487 from both sides.
44x=9513
Subtract 4487 from 14000 to get 9513.
x=\frac{9513}{44}
Divide both sides by 44.