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7578\times 0\times 49+x=0\times 5\left(x+7578\right)
Variable x cannot be equal to -7578 since division by zero is not defined. Multiply both sides of the equation by x+7578.
0\times 49+x=0\times 5\left(x+7578\right)
Multiply 7578 and 0 to get 0.
0+x=0\times 5\left(x+7578\right)
Multiply 0 and 49 to get 0.
x=0\times 5\left(x+7578\right)
Anything plus zero gives itself.
x=0\left(x+7578\right)
Multiply 0 and 5 to get 0.
x=0
Anything times zero gives zero.