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Simplifying (X + -4) * 2 + (y + -4) * 2 = 9 Reorder the terms: (-4 + X) * 2 + (y + -4) * 2 = 9 Reorder the terms for easier multiplication: 2(-4 + X) + (y + -4) * 2 = 9 (-4 * 2 + X * 2) + (y + -4) * 2 = 9 (-8 + 2X) + (y + -4) * 2 = 9 Reorder the terms: -8 + 2X + (-4 + y) * 2 = 9 Reorder the terms for easier multiplication: -8 + 2X + 2(-4 + y) = 9 -8 + 2X + (-4 * 2 + y * 2) = 9 -8 + 2X + (-8 + 2y) = 9 Reorder the terms: -8 + -8 + 2X + 2y = 9 Combine like terms: -8 + -8 = -16 -16 + 2X + 2y = 9 Solving -16 + 2X + 2y = 9 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2X + 16 + 2y = 9 + 16 Reorder the terms: -16 + 16 + 2X + 2y = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 2X + 2y = 9 + 16 2X + 2y = 9 + 16 Combine like terms: 9 + 16 = 25 2X + 2y = 25 Add '-2y' to each side of the equation. 2X + 2y + -2y = 25 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 25 + -2y 2X = 25 + -2y Divide each side by '2'. X = 12.5 + -1y Simplifying X = 12.5 + -1y
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