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Simplifying ((8 + -1x) * 1) + ((8 + -1y) * -1) = 2 Reorder the terms for easier multiplication: (1(8 + -1x)) + ((8 + -1y) * -1) = 2 ((8 * 1 + -1x * 1)) + ((8 + -1y) * -1) = 2 ((8 + -1x)) + ((8 + -1y) * -1) = 2 (8 + -1x) + ((8 + -1y) * -1) = 2 Remove parenthesis around (8 + -1x) 8 + -1x + ((8 + -1y) * -1) = 2 Reorder the terms for easier multiplication: 8 + -1x + (-1(8 + -1y)) = 2 8 + -1x + ((8 * -1 + -1y * -1)) = 2 8 + -1x + ((-8 + 1y)) = 2 8 + -1x + (-8 + 1y) = 2 Remove parenthesis around (-8 + 1y) 8 + -1x + -8 + 1y = 2 Reorder the terms: 8 + -8 + -1x + 1y = 2 Combine like terms: 8 + -8 = 0 0 + -1x + 1y = 2 -1x + 1y = 2 Solving -1x + 1y = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + 1y + -1y = 2 + -1y Combine like terms: 1y + -1y = 0 -1x + 0 = 2 + -1y -1x = 2 + -1y Divide each side by '-1'. x = -2 + y Simplifying x = -2 + y
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