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Simplifying (x + 7) * 2 + (y + 2) * 2 = 49 Reorder the terms: (7 + x) * 2 + (y + 2) * 2 = 49 Reorder the terms for easier multiplication: 2(7 + x) + (y + 2) * 2 = 49 (7 * 2 + x * 2) + (y + 2) * 2 = 49 (14 + 2x) + (y + 2) * 2 = 49 Reorder the terms: 14 + 2x + (2 + y) * 2 = 49 Reorder the terms for easier multiplication: 14 + 2x + 2(2 + y) = 49 14 + 2x + (2 * 2 + y * 2) = 49 14 + 2x + (4 + 2y) = 49 Reorder the terms: 14 + 4 + 2x + 2y = 49 Combine like terms: 14 + 4 = 18 18 + 2x + 2y = 49 Solving 18 + 2x + 2y = 49 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 = 49 + -18 Reorder the terms: 18 + -18 + 2x + 2y = 49 + -18 Combine like terms: 18 + -18 = 0 0 + 2x + 2y = 49 + -18 2x + 2y = 49 + -18 Combine like terms: 49 + -18 = 31 2x + 2y = 31 Add '-2y' to each side of the equation. 2x + 2y + -2y = 31 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 31 + -2y 2x = 31 + -2y Divide each side by '2'. x = 15.5 + -1y Simplifying x = 15.5 + -1y
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