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Simplifying (x + -1y) + -1[5x + -1(4 + -8x)] = 0 Remove parenthesis around (x + -1y) x + -1y + -1[5x + -1(4 + -8x)] = 0 x + -1y + -1[5x + (4 * -1 + -8x * -1)] = 0 x + -1y + -1[5x + (-4 + 8x)] = 0 Reorder the terms: x + -1y + -1[-4 + 5x + 8x] = 0 Combine like terms: 5x + 8x = 13x x + -1y + -1[-4 + 13x] = 0 x + -1y + [-4 * -1 + 13x * -1] = 0 x + -1y + [4 + -13x] = 0 Reorder the terms: 4 + x + -13x + -1y = 0 Combine like terms: x + -13x = -12x 4 + -12x + -1y = 0 Solving 4 + -12x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -12x + -4 + -1y = 0 + -4 Reorder the terms: 4 + -4 + -12x + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12x + -1y = 0 + -4 -12x + -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -12x + -1y = -4 Add 'y' to each side of the equation. -12x + -1y + y = -4 + y Combine like terms: -1y + y = 0 -12x + 0 = -4 + y -12x = -4 + y Divide each side by '-12'. x = 0.3333333333 + -0.08333333333y Simplifying x = 0.3333333333 + -0.08333333333y
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