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Simplifying (x + -5) * 2 + (y + 7) * 2 = 36 Reorder the terms: (-5 + x) * 2 + (y + 7) * 2 = 36 Reorder the terms for easier multiplication: 2(-5 + x) + (y + 7) * 2 = 36 (-5 * 2 + x * 2) + (y + 7) * 2 = 36 (-10 + 2x) + (y + 7) * 2 = 36 Reorder the terms: -10 + 2x + (7 + y) * 2 = 36 Reorder the terms for easier multiplication: -10 + 2x + 2(7 + y) = 36 -10 + 2x + (7 * 2 + y * 2) = 36 -10 + 2x + (14 + 2y) = 36 Reorder the terms: -10 + 14 + 2x + 2y = 36 Combine like terms: -10 + 14 = 4 4 + 2x + 2y = 36 Solving 4 + 2x + 2y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -4 + 2y = 36 + -4 Reorder the terms: 4 + -4 + 2x + 2y = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + 2y = 36 + -4 2x + 2y = 36 + -4 Combine like terms: 36 + -4 = 32 2x + 2y = 32 Add '-2y' to each side of the equation. 2x + 2y + -2y = 32 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 32 + -2y 2x = 32 + -2y Divide each side by '2'. x = 16 + -1y Simplifying x = 16 + -1y
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