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Simplifying 14x + 6y + 12 + 3x + -10y + -4 = 0 Reorder the terms: 12 + -4 + 14x + 3x + 6y + -10y = 0 Combine like terms: 12 + -4 = 8 8 + 14x + 3x + 6y + -10y = 0 Combine like terms: 14x + 3x = 17x 8 + 17x + 6y + -10y = 0 Combine like terms: 6y + -10y = -4y 8 + 17x + -4y = 0 Solving 8 + 17x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 17x + -8 + -4y = 0 + -8 Reorder the terms: 8 + -8 + 17x + -4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 17x + -4y = 0 + -8 17x + -4y = 0 + -8 Combine like terms: 0 + -8 = -8 17x + -4y = -8 Add '4y' to each side of the equation. 17x + -4y + 4y = -8 + 4y Combine like terms: -4y + 4y = 0 17x + 0 = -8 + 4y 17x = -8 + 4y Divide each side by '17'. x = -0.4705882353 + 0.2352941176y Simplifying x = -0.4705882353 + 0.2352941176y
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