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Simplifying 8x + (3 + -2y) + (6x + -9) + -1(x + y) = 0 Remove parenthesis around (3 + -2y) 8x + 3 + -2y + (6x + -9) + -1(x + y) = 0 Reorder the terms: 8x + 3 + -2y + (-9 + 6x) + -1(x + y) = 0 Remove parenthesis around (-9 + 6x) 8x + 3 + -2y + -9 + 6x + -1(x + y) = 0 8x + 3 + -2y + -9 + 6x + (x * -1 + y * -1) = 0 8x + 3 + -2y + -9 + 6x + (-1x + -1y) = 0 Reorder the terms: 3 + -9 + 8x + 6x + -1x + -2y + -1y = 0 Combine like terms: 3 + -9 = -6 -6 + 8x + 6x + -1x + -2y + -1y = 0 Combine like terms: 8x + 6x = 14x -6 + 14x + -1x + -2y + -1y = 0 Combine like terms: 14x + -1x = 13x -6 + 13x + -2y + -1y = 0 Combine like terms: -2y + -1y = -3y -6 + 13x + -3y = 0 Solving -6 + 13x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 13x + 6 + -3y = 0 + 6 Reorder the terms: -6 + 6 + 13x + -3y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13x + -3y = 0 + 6 13x + -3y = 0 + 6 Combine like terms: 0 + 6 = 6 13x + -3y = 6 Add '3y' to each side of the equation. 13x + -3y + 3y = 6 + 3y Combine like terms: -3y + 3y = 0 13x + 0 = 6 + 3y 13x = 6 + 3y Divide each side by '13'. x = 0.4615384615 + 0.2307692308y Simplifying x = 0.4615384615 + 0.2307692308y
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