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