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Simplifying (X + -6) * 2 + (y + -8) * 2 = 9 Reorder the terms: (-6 + X) * 2 + (y + -8) * 2 = 9 Reorder the terms for easier multiplication: 2(-6 + X) + (y + -8) * 2 = 9 (-6 * 2 + X * 2) + (y + -8) * 2 = 9 (-12 + 2X) + (y + -8) * 2 = 9 Reorder the terms: -12 + 2X + (-8 + y) * 2 = 9 Reorder the terms for easier multiplication: -12 + 2X + 2(-8 + y) = 9 -12 + 2X + (-8 * 2 + y * 2) = 9 -12 + 2X + (-16 + 2y) = 9 Reorder the terms: -12 + -16 + 2X + 2y = 9 Combine like terms: -12 + -16 = -28 -28 + 2X + 2y = 9 Solving -28 + 2X + 2y = 9 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 2X + 28 + 2y = 9 + 28 Reorder the terms: -28 + 28 + 2X + 2y = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 2X + 2y = 9 + 28 2X + 2y = 9 + 28 Combine like terms: 9 + 28 = 37 2X + 2y = 37 Add '-2y' to each side of the equation. 2X + 2y + -2y = 37 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 37 + -2y 2X = 37 + -2y Divide each side by '2'. X = 18.5 + -1y Simplifying X = 18.5 + -1y
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