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Simplifying (x) * 2 + (y + 8) * 2 = 98 Reorder the terms for easier multiplication: 2x + (y + 8) * 2 = 98 Reorder the terms: 2x + (8 + y) * 2 = 98 Reorder the terms for easier multiplication: 2x + 2(8 + y) = 98 2x + (8 * 2 + y * 2) = 98 2x + (16 + 2y) = 98 Reorder the terms: 16 + 2x + 2y = 98 Solving 16 + 2x + 2y = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 2x + -16 + 2y = 98 + -16 Reorder the terms: 16 + -16 + 2x + 2y = 98 + -16 Combine like terms: 16 + -16 = 0 0 + 2x + 2y = 98 + -16 2x + 2y = 98 + -16 Combine like terms: 98 + -16 = 82 2x + 2y = 82 Add '-2y' to each side of the equation. 2x + 2y + -2y = 82 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 82 + -2y 2x = 82 + -2y Divide each side by '2'. x = 41 + -1y Simplifying x = 41 + -1y
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