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Simplifying (9x + 12y + -8) + (13x + -7y + -9) = 0 Reorder the terms: (-8 + 9x + 12y) + (13x + -7y + -9) = 0 Remove parenthesis around (-8 + 9x + 12y) -8 + 9x + 12y + (13x + -7y + -9) = 0 Reorder the terms: -8 + 9x + 12y + (-9 + 13x + -7y) = 0 Remove parenthesis around (-9 + 13x + -7y) -8 + 9x + 12y + -9 + 13x + -7y = 0 Reorder the terms: -8 + -9 + 9x + 13x + 12y + -7y = 0 Combine like terms: -8 + -9 = -17 -17 + 9x + 13x + 12y + -7y = 0 Combine like terms: 9x + 13x = 22x -17 + 22x + 12y + -7y = 0 Combine like terms: 12y + -7y = 5y -17 + 22x + 5y = 0 Solving -17 + 22x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 22x + 17 + 5y = 0 + 17 Reorder the terms: -17 + 17 + 22x + 5y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 22x + 5y = 0 + 17 22x + 5y = 0 + 17 Combine like terms: 0 + 17 = 17 22x + 5y = 17 Add '-5y' to each side of the equation. 22x + 5y + -5y = 17 + -5y Combine like terms: 5y + -5y = 0 22x + 0 = 17 + -5y 22x = 17 + -5y Divide each side by '22'. x = 0.7727272727 + -0.2272727273y Simplifying x = 0.7727272727 + -0.2272727273y
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