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Simplifying 2(3x + -1y) + -1(2x + 8) = 0 (3x * 2 + -1y * 2) + -1(2x + 8) = 0 (6x + -2y) + -1(2x + 8) = 0 Reorder the terms: 6x + -2y + -1(8 + 2x) = 0 6x + -2y + (8 * -1 + 2x * -1) = 0 6x + -2y + (-8 + -2x) = 0 Reorder the terms: -8 + 6x + -2x + -2y = 0 Combine like terms: 6x + -2x = 4x -8 + 4x + -2y = 0 Solving -8 + 4x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + 8 + -2y = 0 + 8 Reorder the terms: -8 + 8 + 4x + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + -2y = 0 + 8 4x + -2y = 0 + 8 Combine like terms: 0 + 8 = 8 4x + -2y = 8 Add '2y' to each side of the equation. 4x + -2y + 2y = 8 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = 8 + 2y 4x = 8 + 2y Divide each side by '4'. x = 2 + 0.5y Simplifying x = 2 + 0.5y
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