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Simplifying 6(2x + 4y) + 2(x + 9) = 0 (2x * 6 + 4y * 6) + 2(x + 9) = 0 (12x + 24y) + 2(x + 9) = 0 Reorder the terms: 12x + 24y + 2(9 + x) = 0 12x + 24y + (9 * 2 + x * 2) = 0 12x + 24y + (18 + 2x) = 0 Reorder the terms: 18 + 12x + 2x + 24y = 0 Combine like terms: 12x + 2x = 14x 18 + 14x + 24y = 0 Solving 18 + 14x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 14x + -18 + 24y = 0 + -18 Reorder the terms: 18 + -18 + 14x + 24y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 14x + 24y = 0 + -18 14x + 24y = 0 + -18 Combine like terms: 0 + -18 = -18 14x + 24y = -18 Add '-24y' to each side of the equation. 14x + 24y + -24y = -18 + -24y Combine like terms: 24y + -24y = 0 14x + 0 = -18 + -24y 14x = -18 + -24y Divide each side by '14'. x = -1.285714286 + -1.714285714y Simplifying x = -1.285714286 + -1.714285714y
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