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Simplifying 2x + -1(3x + -1y + 5 + (8x + -1(x + y + -1))) = 0 Reorder the terms: 2x + -1(3x + -1y + 5 + (8x + -1(-1 + x + y))) = 0 2x + -1(3x + -1y + 5 + (8x + (-1 * -1 + x * -1 + y * -1))) = 0 2x + -1(3x + -1y + 5 + (8x + (1 + -1x + -1y))) = 0 Reorder the terms: 2x + -1(3x + -1y + 5 + (1 + 8x + -1x + -1y)) = 0 Combine like terms: 8x + -1x = 7x 2x + -1(3x + -1y + 5 + (1 + 7x + -1y)) = 0 Remove parenthesis around (1 + 7x + -1y) 2x + -1(3x + -1y + 5 + 1 + 7x + -1y) = 0 Reorder the terms: 2x + -1(5 + 1 + 3x + 7x + -1y + -1y) = 0 Combine like terms: 5 + 1 = 6 2x + -1(6 + 3x + 7x + -1y + -1y) = 0 Combine like terms: 3x + 7x = 10x 2x + -1(6 + 10x + -1y + -1y) = 0 Combine like terms: -1y + -1y = -2y 2x + -1(6 + 10x + -2y) = 0 2x + (6 * -1 + 10x * -1 + -2y * -1) = 0 2x + (-6 + -10x + 2y) = 0 Reorder the terms: -6 + 2x + -10x + 2y = 0 Combine like terms: 2x + -10x = -8x -6 + -8x + 2y = 0 Solving -6 + -8x + 2y = 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 + -8x + 6 + 2y = 0 + 6 Reorder the terms: -6 + 6 + -8x + 2y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8x + 2y = 0 + 6 -8x + 2y = 0 + 6 Combine like terms: 0 + 6 = 6 -8x + 2y = 6 Add '-2y' to each side of the equation. -8x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 -8x + 0 = 6 + -2y -8x = 6 + -2y Divide each side by '-8'. x = -0.75 + 0.25y Simplifying x = -0.75 + 0.25y
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