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Simplifying (7xy + -6x2 + 5y2) + -1(4y3 + -6x2 + -5xy) = 0 Remove parenthesis around (7xy + -6x2 + 5y2) 7xy + -6x2 + 5y2 + -1(4y3 + -6x2 + -5xy) = 0 Reorder the terms: 7xy + -6x2 + 5y2 + -1(-5xy + -6x2 + 4y3) = 0 7xy + -6x2 + 5y2 + (-5xy * -1 + -6x2 * -1 + 4y3 * -1) = 0 7xy + -6x2 + 5y2 + (5xy + 6x2 + -4y3) = 0 Reorder the terms: 7xy + 5xy + -6x2 + 6x2 + 5y2 + -4y3 = 0 Combine like terms: 7xy + 5xy = 12xy 12xy + -6x2 + 6x2 + 5y2 + -4y3 = 0 Combine like terms: -6x2 + 6x2 = 0 12xy + 0 + 5y2 + -4y3 = 0 12xy + 5y2 + -4y3 = 0 Solving 12xy + 5y2 + -4y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 12xy + 5y2 + -5y2 + -4y3 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 12xy + 0 + -4y3 = 0 + -5y2 12xy + -4y3 = 0 + -5y2 Remove the zero: 12xy + -4y3 = -5y2 Add '4y3' to each side of the equation. 12xy + -4y3 + 4y3 = -5y2 + 4y3 Combine like terms: -4y3 + 4y3 = 0 12xy + 0 = -5y2 + 4y3 12xy = -5y2 + 4y3 Divide each side by '12y'. x = -0.4166666667y + 0.3333333333y2 Simplifying x = -0.4166666667y + 0.3333333333y2
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