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Simplifying 8xy + 3z + 7 + -1(10 + -10yx + -9z) = 0 8xy + 3z + 7 + (10 * -1 + -10xy * -1 + -9z * -1) = 0 8xy + 3z + 7 + (-10 + 10xy + 9z) = 0 Reorder the terms: 7 + -10 + 8xy + 10xy + 3z + 9z = 0 Combine like terms: 7 + -10 = -3 -3 + 8xy + 10xy + 3z + 9z = 0 Combine like terms: 8xy + 10xy = 18xy -3 + 18xy + 3z + 9z = 0 Combine like terms: 3z + 9z = 12z -3 + 18xy + 12z = 0 Solving -3 + 18xy + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 18xy + 3 + 12z = 0 + 3 Reorder the terms: -3 + 3 + 18xy + 12z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 18xy + 12z = 0 + 3 18xy + 12z = 0 + 3 Combine like terms: 0 + 3 = 3 18xy + 12z = 3 Add '-12z' to each side of the equation. 18xy + 12z + -12z = 3 + -12z Combine like terms: 12z + -12z = 0 18xy + 0 = 3 + -12z 18xy = 3 + -12z Divide each side by '18y'. x = 0.1666666667y-1 + -0.6666666667y-1z Simplifying x = 0.1666666667y-1 + -0.6666666667y-1z
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