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5x=4\left(x+22\right)
Variable x cannot be equal to -22 since division by zero is not defined. Multiply both sides of the equation by 11\left(x+22\right), the least common multiple of 11x+242,11.
5x=4x+88
Use the distributive property to multiply 4 by x+22.
5x-4x=88
Subtract 4x from both sides.
x=88
Combine 5x and -4x to get x.