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Simplifying (x + 8) * 2 + -1(y + 6) * 2 = 1 Reorder the terms: (8 + x) * 2 + -1(y + 6) * 2 = 1 Reorder the terms for easier multiplication: 2(8 + x) + -1(y + 6) * 2 = 1 (8 * 2 + x * 2) + -1(y + 6) * 2 = 1 (16 + 2x) + -1(y + 6) * 2 = 1 Reorder the terms: 16 + 2x + -1(6 + y) * 2 = 1 Reorder the terms for easier multiplication: 16 + 2x + -1 * 2(6 + y) = 1 Multiply -1 * 2 16 + 2x + -2(6 + y) = 1 16 + 2x + (6 * -2 + y * -2) = 1 16 + 2x + (-12 + -2y) = 1 Reorder the terms: 16 + -12 + 2x + -2y = 1 Combine like terms: 16 + -12 = 4 4 + 2x + -2y = 1 Solving 4 + 2x + -2y = 1 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 = 1 + -4 Reorder the terms: 4 + -4 + 2x + -2y = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + -2y = 1 + -4 2x + -2y = 1 + -4 Combine like terms: 1 + -4 = -3 2x + -2y = -3 Add '2y' to each side of the equation. 2x + -2y + 2y = -3 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = -3 + 2y 2x = -3 + 2y Divide each side by '2'. x = -1.5 + y Simplifying x = -1.5 + y
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