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Simplifying (x + 8) * 2 + (y + 1) * 2 = 324 Reorder the terms: (8 + x) * 2 + (y + 1) * 2 = 324 Reorder the terms for easier multiplication: 2(8 + x) + (y + 1) * 2 = 324 (8 * 2 + x * 2) + (y + 1) * 2 = 324 (16 + 2x) + (y + 1) * 2 = 324 Reorder the terms: 16 + 2x + (1 + y) * 2 = 324 Reorder the terms for easier multiplication: 16 + 2x + 2(1 + y) = 324 16 + 2x + (1 * 2 + y * 2) = 324 16 + 2x + (2 + 2y) = 324 Reorder the terms: 16 + 2 + 2x + 2y = 324 Combine like terms: 16 + 2 = 18 18 + 2x + 2y = 324 Solving 18 + 2x + 2y = 324 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 = 324 + -18 Reorder the terms: 18 + -18 + 2x + 2y = 324 + -18 Combine like terms: 18 + -18 = 0 0 + 2x + 2y = 324 + -18 2x + 2y = 324 + -18 Combine like terms: 324 + -18 = 306 2x + 2y = 306 Add '-2y' to each side of the equation. 2x + 2y + -2y = 306 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 306 + -2y 2x = 306 + -2y Divide each side by '2'. x = 153 + -1y Simplifying x = 153 + -1y
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