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Simplifying (X + 5) * 2 + (y + -6) * 2 = 16 Reorder the terms: (5 + X) * 2 + (y + -6) * 2 = 16 Reorder the terms for easier multiplication: 2(5 + X) + (y + -6) * 2 = 16 (5 * 2 + X * 2) + (y + -6) * 2 = 16 (10 + 2X) + (y + -6) * 2 = 16 Reorder the terms: 10 + 2X + (-6 + y) * 2 = 16 Reorder the terms for easier multiplication: 10 + 2X + 2(-6 + y) = 16 10 + 2X + (-6 * 2 + y * 2) = 16 10 + 2X + (-12 + 2y) = 16 Reorder the terms: 10 + -12 + 2X + 2y = 16 Combine like terms: 10 + -12 = -2 -2 + 2X + 2y = 16 Solving -2 + 2X + 2y = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2X + 2 + 2y = 16 + 2 Reorder the terms: -2 + 2 + 2X + 2y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 2X + 2y = 16 + 2 2X + 2y = 16 + 2 Combine like terms: 16 + 2 = 18 2X + 2y = 18 Add '-2y' to each side of the equation. 2X + 2y + -2y = 18 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 18 + -2y 2X = 18 + -2y Divide each side by '2'. X = 9 + -1y Simplifying X = 9 + -1y
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