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Simplifying 2x + -4y + 6 + 3x + -9y + -4 = 0 Reorder the terms: 6 + -4 + 2x + 3x + -4y + -9y = 0 Combine like terms: 6 + -4 = 2 2 + 2x + 3x + -4y + -9y = 0 Combine like terms: 2x + 3x = 5x 2 + 5x + -4y + -9y = 0 Combine like terms: -4y + -9y = -13y 2 + 5x + -13y = 0 Solving 2 + 5x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x + -2 + -13y = 0 + -2 Reorder the terms: 2 + -2 + 5x + -13y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x + -13y = 0 + -2 5x + -13y = 0 + -2 Combine like terms: 0 + -2 = -2 5x + -13y = -2 Add '13y' to each side of the equation. 5x + -13y + 13y = -2 + 13y Combine like terms: -13y + 13y = 0 5x + 0 = -2 + 13y 5x = -2 + 13y Divide each side by '5'. x = -0.4 + 2.6y Simplifying x = -0.4 + 2.6y
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