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Simplifying (x + -8) * 2 + (y + 2) * 2 = 49 Reorder the terms: (-8 + x) * 2 + (y + 2) * 2 = 49 Reorder the terms for easier multiplication: 2(-8 + x) + (y + 2) * 2 = 49 (-8 * 2 + x * 2) + (y + 2) * 2 = 49 (-16 + 2x) + (y + 2) * 2 = 49 Reorder the terms: -16 + 2x + (2 + y) * 2 = 49 Reorder the terms for easier multiplication: -16 + 2x + 2(2 + y) = 49 -16 + 2x + (2 * 2 + y * 2) = 49 -16 + 2x + (4 + 2y) = 49 Reorder the terms: -16 + 4 + 2x + 2y = 49 Combine like terms: -16 + 4 = -12 -12 + 2x + 2y = 49 Solving -12 + 2x + 2y = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2x + 12 + 2y = 49 + 12 Reorder the terms: -12 + 12 + 2x + 2y = 49 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + 2y = 49 + 12 2x + 2y = 49 + 12 Combine like terms: 49 + 12 = 61 2x + 2y = 61 Add '-2y' to each side of the equation. 2x + 2y + -2y = 61 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 61 + -2y 2x = 61 + -2y Divide each side by '2'. x = 30.5 + -1y Simplifying x = 30.5 + -1y
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