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Simplifying (x + -5) * 2 + (y + -5) * 2 = 27 Reorder the terms: (-5 + x) * 2 + (y + -5) * 2 = 27 Reorder the terms for easier multiplication: 2(-5 + x) + (y + -5) * 2 = 27 (-5 * 2 + x * 2) + (y + -5) * 2 = 27 (-10 + 2x) + (y + -5) * 2 = 27 Reorder the terms: -10 + 2x + (-5 + y) * 2 = 27 Reorder the terms for easier multiplication: -10 + 2x + 2(-5 + y) = 27 -10 + 2x + (-5 * 2 + y * 2) = 27 -10 + 2x + (-10 + 2y) = 27 Reorder the terms: -10 + -10 + 2x + 2y = 27 Combine like terms: -10 + -10 = -20 -20 + 2x + 2y = 27 Solving -20 + 2x + 2y = 27 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 = 27 + 20 Reorder the terms: -20 + 20 + 2x + 2y = 27 + 20 Combine like terms: -20 + 20 = 0 0 + 2x + 2y = 27 + 20 2x + 2y = 27 + 20 Combine like terms: 27 + 20 = 47 2x + 2y = 47 Add '-2y' to each side of the equation. 2x + 2y + -2y = 47 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 47 + -2y 2x = 47 + -2y Divide each side by '2'. x = 23.5 + -1y Simplifying x = 23.5 + -1y
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