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Simplifying 0 = 13x + -1(x + -3y) + -1[2x + -1(x + -1y)] 0 = 13x + (x * -1 + -3y * -1) + -1[2x + -1(x + -1y)] 0 = 13x + (-1x + 3y) + -1[2x + -1(x + -1y)] 0 = 13x + -1x + 3y + -1[2x + (x * -1 + -1y * -1)] 0 = 13x + -1x + 3y + -1[2x + (-1x + 1y)] Combine like terms: 2x + -1x = 1x 0 = 13x + -1x + 3y + -1[1x + 1y] 0 = 13x + -1x + 3y + [1x * -1 + 1y * -1] 0 = 13x + -1x + 3y + [-1x + -1y] Reorder the terms: 0 = 13x + -1x + -1x + 3y + -1y Combine like terms: 13x + -1x = 12x 0 = 12x + -1x + 3y + -1y Combine like terms: 12x + -1x = 11x 0 = 11x + 3y + -1y Combine like terms: 3y + -1y = 2y 0 = 11x + 2y Solving 0 = 11x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 0 + -11x = 11x + -11x + 2y Remove the zero: -11x = 11x + -11x + 2y Combine like terms: 11x + -11x = 0 -11x = 0 + 2y -11x = 2y Divide each side by '-11'. x = -0.1818181818y Simplifying x = -0.1818181818y
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