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Simplifying 4x + 2(3x + -1y) + 4x + 6y = 0 4x + (3x * 2 + -1y * 2) + 4x + 6y = 0 4x + (6x + -2y) + 4x + 6y = 0 Reorder the terms: 4x + 6x + 4x + -2y + 6y = 0 Combine like terms: 4x + 6x = 10x 10x + 4x + -2y + 6y = 0 Combine like terms: 10x + 4x = 14x 14x + -2y + 6y = 0 Combine like terms: -2y + 6y = 4y 14x + 4y = 0 Solving 14x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 14x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 14x + 0 = 0 + -4y 14x = 0 + -4y Remove the zero: 14x = -4y Divide each side by '14'. x = -0.2857142857y Simplifying x = -0.2857142857y
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