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Simplifying 3(x + 4y) + 2(4x + y) = 0 (x * 3 + 4y * 3) + 2(4x + y) = 0 (3x + 12y) + 2(4x + y) = 0 3x + 12y + (4x * 2 + y * 2) = 0 3x + 12y + (8x + 2y) = 0 Reorder the terms: 3x + 8x + 12y + 2y = 0 Combine like terms: 3x + 8x = 11x 11x + 12y + 2y = 0 Combine like terms: 12y + 2y = 14y 11x + 14y = 0 Solving 11x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 11x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 11x + 0 = 0 + -14y 11x = 0 + -14y Remove the zero: 11x = -14y Divide each side by '11'. x = -1.272727273y Simplifying x = -1.272727273y
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