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Simplifying (x + 1) * 2 + (y + -1) * 2 = 18 Reorder the terms: (1 + x) * 2 + (y + -1) * 2 = 18 Reorder the terms for easier multiplication: 2(1 + x) + (y + -1) * 2 = 18 (1 * 2 + x * 2) + (y + -1) * 2 = 18 (2 + 2x) + (y + -1) * 2 = 18 Reorder the terms: 2 + 2x + (-1 + y) * 2 = 18 Reorder the terms for easier multiplication: 2 + 2x + 2(-1 + y) = 18 2 + 2x + (-1 * 2 + y * 2) = 18 2 + 2x + (-2 + 2y) = 18 Reorder the terms: 2 + -2 + 2x + 2y = 18 Combine like terms: 2 + -2 = 0 0 + 2x + 2y = 18 2x + 2y = 18 Solving 2x + 2y = 18 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 = 18 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 18 + -2y 2x = 18 + -2y Divide each side by '2'. x = 9 + -1y Simplifying x = 9 + -1y
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