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Simplifying (X + -5) * 2 + (y + -4) * 2 = 16 Reorder the terms: (-5 + X) * 2 + (y + -4) * 2 = 16 Reorder the terms for easier multiplication: 2(-5 + X) + (y + -4) * 2 = 16 (-5 * 2 + X * 2) + (y + -4) * 2 = 16 (-10 + 2X) + (y + -4) * 2 = 16 Reorder the terms: -10 + 2X + (-4 + y) * 2 = 16 Reorder the terms for easier multiplication: -10 + 2X + 2(-4 + y) = 16 -10 + 2X + (-4 * 2 + y * 2) = 16 -10 + 2X + (-8 + 2y) = 16 Reorder the terms: -10 + -8 + 2X + 2y = 16 Combine like terms: -10 + -8 = -18 -18 + 2X + 2y = 16 Solving -18 + 2X + 2y = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2X + 18 + 2y = 16 + 18 Reorder the terms: -18 + 18 + 2X + 2y = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 2X + 2y = 16 + 18 2X + 2y = 16 + 18 Combine like terms: 16 + 18 = 34 2X + 2y = 34 Add '-2y' to each side of the equation. 2X + 2y + -2y = 34 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 34 + -2y 2X = 34 + -2y Divide each side by '2'. X = 17 + -1y Simplifying X = 17 + -1y
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