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Simplifying 2x + -4[2 + -3(x + 4y) + -2] = 0 2x + -4[2 + (x * -3 + 4y * -3) + -2] = 0 2x + -4[2 + (-3x + -12y) + -2] = 0 Reorder the terms: 2x + -4[2 + -2 + -3x + -12y] = 0 Combine like terms: 2 + -2 = 0 2x + -4[0 + -3x + -12y] = 0 2x + -4[-3x + -12y] = 0 2x + [-3x * -4 + -12y * -4] = 0 2x + [12x + 48y] = 0 Combine like terms: 2x + 12x = 14x 14x + 48y = 0 Solving 14x + 48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. 14x + 48y + -48y = 0 + -48y Combine like terms: 48y + -48y = 0 14x + 0 = 0 + -48y 14x = 0 + -48y Remove the zero: 14x = -48y Divide each side by '14'. x = -3.428571429y Simplifying x = -3.428571429y
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