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Simplifying (x + -5) * 2 + (y + 6) * 2 = 36 Reorder the terms: (-5 + x) * 2 + (y + 6) * 2 = 36 Reorder the terms for easier multiplication: 2(-5 + x) + (y + 6) * 2 = 36 (-5 * 2 + x * 2) + (y + 6) * 2 = 36 (-10 + 2x) + (y + 6) * 2 = 36 Reorder the terms: -10 + 2x + (6 + y) * 2 = 36 Reorder the terms for easier multiplication: -10 + 2x + 2(6 + y) = 36 -10 + 2x + (6 * 2 + y * 2) = 36 -10 + 2x + (12 + 2y) = 36 Reorder the terms: -10 + 12 + 2x + 2y = 36 Combine like terms: -10 + 12 = 2 2 + 2x + 2y = 36 Solving 2 + 2x + 2y = 36 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 = 36 + -2 Reorder the terms: 2 + -2 + 2x + 2y = 36 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 2y = 36 + -2 2x + 2y = 36 + -2 Combine like terms: 36 + -2 = 34 2x + 2y = 34 Add '-2y' to each side of the equation. 2x + 2y + -2y = 34 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 34 + -2y 2x = 34 + -2y Divide each side by '2'. x = 17 + -1y Simplifying x = 17 + -1y
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