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Simplifying (x + 6) * 2 + (y + -16) * 2 = 1 Reorder the terms: (6 + x) * 2 + (y + -16) * 2 = 1 Reorder the terms for easier multiplication: 2(6 + x) + (y + -16) * 2 = 1 (6 * 2 + x * 2) + (y + -16) * 2 = 1 (12 + 2x) + (y + -16) * 2 = 1 Reorder the terms: 12 + 2x + (-16 + y) * 2 = 1 Reorder the terms for easier multiplication: 12 + 2x + 2(-16 + y) = 1 12 + 2x + (-16 * 2 + y * 2) = 1 12 + 2x + (-32 + 2y) = 1 Reorder the terms: 12 + -32 + 2x + 2y = 1 Combine like terms: 12 + -32 = -20 -20 + 2x + 2y = 1 Solving -20 + 2x + 2y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2x + 20 + 2y = 1 + 20 Reorder the terms: -20 + 20 + 2x + 2y = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 2x + 2y = 1 + 20 2x + 2y = 1 + 20 Combine like terms: 1 + 20 = 21 2x + 2y = 21 Add '-2y' to each side of the equation. 2x + 2y + -2y = 21 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 21 + -2y 2x = 21 + -2y Divide each side by '2'. x = 10.5 + -1y Simplifying x = 10.5 + -1y
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