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Simplifying 6x + 19y + 4 + 12x + -6y + 10 = 0 Reorder the terms: 4 + 10 + 6x + 12x + 19y + -6y = 0 Combine like terms: 4 + 10 = 14 14 + 6x + 12x + 19y + -6y = 0 Combine like terms: 6x + 12x = 18x 14 + 18x + 19y + -6y = 0 Combine like terms: 19y + -6y = 13y 14 + 18x + 13y = 0 Solving 14 + 18x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 18x + -14 + 13y = 0 + -14 Reorder the terms: 14 + -14 + 18x + 13y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 18x + 13y = 0 + -14 18x + 13y = 0 + -14 Combine like terms: 0 + -14 = -14 18x + 13y = -14 Add '-13y' to each side of the equation. 18x + 13y + -13y = -14 + -13y Combine like terms: 13y + -13y = 0 18x + 0 = -14 + -13y 18x = -14 + -13y Divide each side by '18'. x = -0.7777777778 + -0.7222222222y Simplifying x = -0.7777777778 + -0.7222222222y
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