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