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76x=-\left(101023-x\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
76x=-101023+x
To find the opposite of 101023-x, find the opposite of each term.
76x-x=-101023
Subtract x from both sides.
75x=-101023
Combine 76x and -x to get 75x.
x=\frac{-101023}{75}
Divide both sides by 75.
x=-\frac{101023}{75}
Fraction \frac{-101023}{75} can be rewritten as -\frac{101023}{75} by extracting the negative sign.