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Simplifying 3(4x + 2y) + 5 = 0 (4x * 3 + 2y * 3) + 5 = 0 (12x + 6y) + 5 = 0 Reorder the terms: 5 + 12x + 6y = 0 Solving 5 + 12x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 12x + -5 + 6y = 0 + -5 Reorder the terms: 5 + -5 + 12x + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x + 6y = 0 + -5 12x + 6y = 0 + -5 Combine like terms: 0 + -5 = -5 12x + 6y = -5 Add '-6y' to each side of the equation. 12x + 6y + -6y = -5 + -6y Combine like terms: 6y + -6y = 0 12x + 0 = -5 + -6y 12x = -5 + -6y Divide each side by '12'. x = -0.4166666667 + -0.5y Simplifying x = -0.4166666667 + -0.5y
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