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Simplifying 6x + -1[4x + -1(3y + -8x)] = [11y + (5x + -9y)] * y Reorder the terms: 6x + -1[4x + -1(-8x + 3y)] = [11y + (5x + -9y)] * y 6x + -1[4x + (-8x * -1 + 3y * -1)] = [11y + (5x + -9y)] * y 6x + -1[4x + (8x + -3y)] = [11y + (5x + -9y)] * y Combine like terms: 4x + 8x = 12x 6x + -1[12x + -3y] = [11y + (5x + -9y)] * y 6x + [12x * -1 + -3y * -1] = [11y + (5x + -9y)] * y 6x + [-12x + 3y] = [11y + (5x + -9y)] * y Combine like terms: 6x + -12x = -6x -6x + 3y = [11y + (5x + -9y)] * y Remove parenthesis around (5x + -9y) -6x + 3y = [11y + 5x + -9y] * y Reorder the terms: -6x + 3y = [5x + 11y + -9y] * y Combine like terms: 11y + -9y = 2y -6x + 3y = [5x + 2y] * y Reorder the terms for easier multiplication: -6x + 3y = y[5x + 2y] -6x + 3y = [5x * y + 2y * y] -6x + 3y = [5xy + 2y2] Solving -6x + 3y = 5xy + 2y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5xy' to each side of the equation. -6x + -5xy + 3y = 5xy + -5xy + 2y2 Combine like terms: 5xy + -5xy = 0 -6x + -5xy + 3y = 0 + 2y2 -6x + -5xy + 3y = 2y2 Add '-3y' to each side of the equation. -6x + -5xy + 3y + -3y = -3y + 2y2 Combine like terms: 3y + -3y = 0 -6x + -5xy + 0 = -3y + 2y2 -6x + -5xy = -3y + 2y2 Reorder the terms: -6x + -5xy + 3y + -2y2 = -3y + 3y + 2y2 + -2y2 Combine like terms: -3y + 3y = 0 -6x + -5xy + 3y + -2y2 = 0 + 2y2 + -2y2 -6x + -5xy + 3y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -6x + -5xy + 3y + -2y2 = 0 The solution to this equation could not be determined.
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