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Simplifying (x + 4) * 2 + (y + -4) * 2 = 36 Reorder the terms: (4 + x) * 2 + (y + -4) * 2 = 36 Reorder the terms for easier multiplication: 2(4 + x) + (y + -4) * 2 = 36 (4 * 2 + x * 2) + (y + -4) * 2 = 36 (8 + 2x) + (y + -4) * 2 = 36 Reorder the terms: 8 + 2x + (-4 + y) * 2 = 36 Reorder the terms for easier multiplication: 8 + 2x + 2(-4 + y) = 36 8 + 2x + (-4 * 2 + y * 2) = 36 8 + 2x + (-8 + 2y) = 36 Reorder the terms: 8 + -8 + 2x + 2y = 36 Combine like terms: 8 + -8 = 0 0 + 2x + 2y = 36 2x + 2y = 36 Solving 2x + 2y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 2x + 2y + -2y = 36 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 36 + -2y 2x = 36 + -2y Divide each side by '2'. x = 18 + -1y Simplifying x = 18 + -1y
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