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Simplifying 3x + 5y + 6 = 0 Reorder the terms: 6 + 3x + 5y = 0 Solving 6 + 3x + 5y = 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 + 3x + -6 + 5y = 0 + -6 Reorder the terms: 6 + -6 + 3x + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + 5y = 0 + -6 3x + 5y = 0 + -6 Combine like terms: 0 + -6 = -6 3x + 5y = -6 Add '-5y' to each side of the equation. 3x + 5y + -5y = -6 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = -6 + -5y 3x = -6 + -5y Divide each side by '3'. x = -2 + -1.666666667y Simplifying x = -2 + -1.666666667y
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