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Simplifying (x + 6) * 2 + (y + -5) * 2 = 8 Reorder the terms: (6 + x) * 2 + (y + -5) * 2 = 8 Reorder the terms for easier multiplication: 2(6 + x) + (y + -5) * 2 = 8 (6 * 2 + x * 2) + (y + -5) * 2 = 8 (12 + 2x) + (y + -5) * 2 = 8 Reorder the terms: 12 + 2x + (-5 + y) * 2 = 8 Reorder the terms for easier multiplication: 12 + 2x + 2(-5 + y) = 8 12 + 2x + (-5 * 2 + y * 2) = 8 12 + 2x + (-10 + 2y) = 8 Reorder the terms: 12 + -10 + 2x + 2y = 8 Combine like terms: 12 + -10 = 2 2 + 2x + 2y = 8 Solving 2 + 2x + 2y = 8 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 = 8 + -2 Reorder the terms: 2 + -2 + 2x + 2y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 2y = 8 + -2 2x + 2y = 8 + -2 Combine like terms: 8 + -2 = 6 2x + 2y = 6 Add '-2y' to each side of the equation. 2x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 6 + -2y 2x = 6 + -2y Divide each side by '2'. x = 3 + -1y Simplifying x = 3 + -1y
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