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Simplifying 2(4x + 3y) + 6(x + -2y) = 0 (4x * 2 + 3y * 2) + 6(x + -2y) = 0 (8x + 6y) + 6(x + -2y) = 0 8x + 6y + (x * 6 + -2y * 6) = 0 8x + 6y + (6x + -12y) = 0 Reorder the terms: 8x + 6x + 6y + -12y = 0 Combine like terms: 8x + 6x = 14x 14x + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y 14x + -6y = 0 Solving 14x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 14x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 14x + 0 = 0 + 6y 14x = 0 + 6y Remove the zero: 14x = 6y Divide each side by '14'. x = 0.4285714286y Simplifying x = 0.4285714286y
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