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Simplifying (x + -3) * 2 + (y + -5) * 2 = 81 Reorder the terms: (-3 + x) * 2 + (y + -5) * 2 = 81 Reorder the terms for easier multiplication: 2(-3 + x) + (y + -5) * 2 = 81 (-3 * 2 + x * 2) + (y + -5) * 2 = 81 (-6 + 2x) + (y + -5) * 2 = 81 Reorder the terms: -6 + 2x + (-5 + y) * 2 = 81 Reorder the terms for easier multiplication: -6 + 2x + 2(-5 + y) = 81 -6 + 2x + (-5 * 2 + y * 2) = 81 -6 + 2x + (-10 + 2y) = 81 Reorder the terms: -6 + -10 + 2x + 2y = 81 Combine like terms: -6 + -10 = -16 -16 + 2x + 2y = 81 Solving -16 + 2x + 2y = 81 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 = 81 + 16 Reorder the terms: -16 + 16 + 2x + 2y = 81 + 16 Combine like terms: -16 + 16 = 0 0 + 2x + 2y = 81 + 16 2x + 2y = 81 + 16 Combine like terms: 81 + 16 = 97 2x + 2y = 97 Add '-2y' to each side of the equation. 2x + 2y + -2y = 97 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 97 + -2y 2x = 97 + -2y Divide each side by '2'. x = 48.5 + -1y Simplifying x = 48.5 + -1y
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