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Simplifying (5xy + 9y + 8) + -1(4xy + -3y) = 0 Reorder the terms: (8 + 5xy + 9y) + -1(4xy + -3y) = 0 Remove parenthesis around (8 + 5xy + 9y) 8 + 5xy + 9y + -1(4xy + -3y) = 0 8 + 5xy + 9y + (4xy * -1 + -3y * -1) = 0 8 + 5xy + 9y + (-4xy + 3y) = 0 Reorder the terms: 8 + 5xy + -4xy + 9y + 3y = 0 Combine like terms: 5xy + -4xy = 1xy 8 + 1xy + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y 8 + 1xy + 12y = 0 Solving 8 + 1xy + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 1xy + -8 + 12y = 0 + -8 Reorder the terms: 8 + -8 + 1xy + 12y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1xy + 12y = 0 + -8 1xy + 12y = 0 + -8 Combine like terms: 0 + -8 = -8 1xy + 12y = -8 Add '-12y' to each side of the equation. 1xy + 12y + -12y = -8 + -12y Combine like terms: 12y + -12y = 0 1xy + 0 = -8 + -12y 1xy = -8 + -12y Divide each side by '1y'. x = -8y-1 + -12 Simplifying x = -8y-1 + -12 Reorder the terms: x = -12 + -8y-1
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