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Simplifying 12x + 14y + 12 + 10x + -6y + -18 = 0 Reorder the terms: 12 + -18 + 12x + 10x + 14y + -6y = 0 Combine like terms: 12 + -18 = -6 -6 + 12x + 10x + 14y + -6y = 0 Combine like terms: 12x + 10x = 22x -6 + 22x + 14y + -6y = 0 Combine like terms: 14y + -6y = 8y -6 + 22x + 8y = 0 Solving -6 + 22x + 8y = 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 + 22x + 6 + 8y = 0 + 6 Reorder the terms: -6 + 6 + 22x + 8y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 22x + 8y = 0 + 6 22x + 8y = 0 + 6 Combine like terms: 0 + 6 = 6 22x + 8y = 6 Add '-8y' to each side of the equation. 22x + 8y + -8y = 6 + -8y Combine like terms: 8y + -8y = 0 22x + 0 = 6 + -8y 22x = 6 + -8y Divide each side by '22'. x = 0.2727272727 + -0.3636363636y Simplifying x = 0.2727272727 + -0.3636363636y
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