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Simplifying -4[2(8x + 3y) + -4(6x + 5y)] = 0 -4[(8x * 2 + 3y * 2) + -4(6x + 5y)] = 0 -4[(16x + 6y) + -4(6x + 5y)] = 0 -4[16x + 6y + (6x * -4 + 5y * -4)] = 0 -4[16x + 6y + (-24x + -20y)] = 0 Reorder the terms: -4[16x + -24x + 6y + -20y] = 0 Combine like terms: 16x + -24x = -8x -4[-8x + 6y + -20y] = 0 Combine like terms: 6y + -20y = -14y -4[-8x + -14y] = 0 [-8x * -4 + -14y * -4] = 0 [32x + 56y] = 0 Solving 32x + 56y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56y' to each side of the equation. 32x + 56y + -56y = 0 + -56y Combine like terms: 56y + -56y = 0 32x + 0 = 0 + -56y 32x = 0 + -56y Remove the zero: 32x = -56y Divide each side by '32'. x = -1.75y Simplifying x = -1.75y
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