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Simplifying 4(3x + 2y) + 5 = 0 (3x * 4 + 2y * 4) + 5 = 0 (12x + 8y) + 5 = 0 Reorder the terms: 5 + 12x + 8y = 0 Solving 5 + 12x + 8y = 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 + 8y = 0 + -5 Reorder the terms: 5 + -5 + 12x + 8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x + 8y = 0 + -5 12x + 8y = 0 + -5 Combine like terms: 0 + -5 = -5 12x + 8y = -5 Add '-8y' to each side of the equation. 12x + 8y + -8y = -5 + -8y Combine like terms: 8y + -8y = 0 12x + 0 = -5 + -8y 12x = -5 + -8y Divide each side by '12'. x = -0.4166666667 + -0.6666666667y Simplifying x = -0.4166666667 + -0.6666666667y
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