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Simplifying (x + 12) * 2 + (y + 6) * 2 = 64 Reorder the terms: (12 + x) * 2 + (y + 6) * 2 = 64 Reorder the terms for easier multiplication: 2(12 + x) + (y + 6) * 2 = 64 (12 * 2 + x * 2) + (y + 6) * 2 = 64 (24 + 2x) + (y + 6) * 2 = 64 Reorder the terms: 24 + 2x + (6 + y) * 2 = 64 Reorder the terms for easier multiplication: 24 + 2x + 2(6 + y) = 64 24 + 2x + (6 * 2 + y * 2) = 64 24 + 2x + (12 + 2y) = 64 Reorder the terms: 24 + 12 + 2x + 2y = 64 Combine like terms: 24 + 12 = 36 36 + 2x + 2y = 64 Solving 36 + 2x + 2y = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 2x + -36 + 2y = 64 + -36 Reorder the terms: 36 + -36 + 2x + 2y = 64 + -36 Combine like terms: 36 + -36 = 0 0 + 2x + 2y = 64 + -36 2x + 2y = 64 + -36 Combine like terms: 64 + -36 = 28 2x + 2y = 28 Add '-2y' to each side of the equation. 2x + 2y + -2y = 28 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 28 + -2y 2x = 28 + -2y Divide each side by '2'. x = 14 + -1y Simplifying x = 14 + -1y
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