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Simplifying (x + 4) * 2 + (y + 6) * 2 = 49 Reorder the terms: (4 + x) * 2 + (y + 6) * 2 = 49 Reorder the terms for easier multiplication: 2(4 + x) + (y + 6) * 2 = 49 (4 * 2 + x * 2) + (y + 6) * 2 = 49 (8 + 2x) + (y + 6) * 2 = 49 Reorder the terms: 8 + 2x + (6 + y) * 2 = 49 Reorder the terms for easier multiplication: 8 + 2x + 2(6 + y) = 49 8 + 2x + (6 * 2 + y * 2) = 49 8 + 2x + (12 + 2y) = 49 Reorder the terms: 8 + 12 + 2x + 2y = 49 Combine like terms: 8 + 12 = 20 20 + 2x + 2y = 49 Solving 20 + 2x + 2y = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 2x + -20 + 2y = 49 + -20 Reorder the terms: 20 + -20 + 2x + 2y = 49 + -20 Combine like terms: 20 + -20 = 0 0 + 2x + 2y = 49 + -20 2x + 2y = 49 + -20 Combine like terms: 49 + -20 = 29 2x + 2y = 29 Add '-2y' to each side of the equation. 2x + 2y + -2y = 29 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 29 + -2y 2x = 29 + -2y Divide each side by '2'. x = 14.5 + -1y Simplifying x = 14.5 + -1y
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