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Simplifying (X + -8) * 2 + -1(y + -6) * 2 = 1 Reorder the terms: (-8 + X) * 2 + -1(y + -6) * 2 = 1 Reorder the terms for easier multiplication: 2(-8 + X) + -1(y + -6) * 2 = 1 (-8 * 2 + X * 2) + -1(y + -6) * 2 = 1 (-16 + 2X) + -1(y + -6) * 2 = 1 Reorder the terms: -16 + 2X + -1(-6 + y) * 2 = 1 Reorder the terms for easier multiplication: -16 + 2X + -1 * 2(-6 + y) = 1 Multiply -1 * 2 -16 + 2X + -2(-6 + y) = 1 -16 + 2X + (-6 * -2 + y * -2) = 1 -16 + 2X + (12 + -2y) = 1 Reorder the terms: -16 + 12 + 2X + -2y = 1 Combine like terms: -16 + 12 = -4 -4 + 2X + -2y = 1 Solving -4 + 2X + -2y = 1 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 + 2X + 4 + -2y = 1 + 4 Reorder the terms: -4 + 4 + 2X + -2y = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 2X + -2y = 1 + 4 2X + -2y = 1 + 4 Combine like terms: 1 + 4 = 5 2X + -2y = 5 Add '2y' to each side of the equation. 2X + -2y + 2y = 5 + 2y Combine like terms: -2y + 2y = 0 2X + 0 = 5 + 2y 2X = 5 + 2y Divide each side by '2'. X = 2.5 + y Simplifying X = 2.5 + y
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