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