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Simplifying (x + 8) * 2 + (y + -9) * 2 = 121 Reorder the terms: (8 + x) * 2 + (y + -9) * 2 = 121 Reorder the terms for easier multiplication: 2(8 + x) + (y + -9) * 2 = 121 (8 * 2 + x * 2) + (y + -9) * 2 = 121 (16 + 2x) + (y + -9) * 2 = 121 Reorder the terms: 16 + 2x + (-9 + y) * 2 = 121 Reorder the terms for easier multiplication: 16 + 2x + 2(-9 + y) = 121 16 + 2x + (-9 * 2 + y * 2) = 121 16 + 2x + (-18 + 2y) = 121 Reorder the terms: 16 + -18 + 2x + 2y = 121 Combine like terms: 16 + -18 = -2 -2 + 2x + 2y = 121 Solving -2 + 2x + 2y = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2x + 2 + 2y = 121 + 2 Reorder the terms: -2 + 2 + 2x + 2y = 121 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 2y = 121 + 2 2x + 2y = 121 + 2 Combine like terms: 121 + 2 = 123 2x + 2y = 123 Add '-2y' to each side of the equation. 2x + 2y + -2y = 123 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 123 + -2y 2x = 123 + -2y Divide each side by '2'. x = 61.5 + -1y Simplifying x = 61.5 + -1y
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