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Simplifying [27 + -1(x + -1y)] + -1[2x + -1(x + -1y)] = 0 [27 + (x * -1 + -1y * -1)] + -1[2x + -1(x + -1y)] = 0 [27 + (-1x + 1y)] + -1[2x + -1(x + -1y)] = 0 Remove brackets around [27 + -1x + 1y] 27 + -1x + 1y + -1[2x + -1(x + -1y)] = 0 27 + -1x + 1y + -1[2x + (x * -1 + -1y * -1)] = 0 27 + -1x + 1y + -1[2x + (-1x + 1y)] = 0 Combine like terms: 2x + -1x = 1x 27 + -1x + 1y + -1[1x + 1y] = 0 27 + -1x + 1y + [1x * -1 + 1y * -1] = 0 27 + -1x + 1y + [-1x + -1y] = 0 Reorder the terms: 27 + -1x + -1x + 1y + -1y = 0 Combine like terms: -1x + -1x = -2x 27 + -2x + 1y + -1y = 0 Combine like terms: 1y + -1y = 0 27 + -2x + 0 = 0 27 + -2x = 0 Solving 27 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 0 + -27 -2x = 0 + -27 Combine like terms: 0 + -27 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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