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Simplifying -1[x + -1(4x + -3y) + 2z + -4(x + -3y + -2z)] = 0 -1[x + (4x * -1 + -3y * -1) + 2z + -4(x + -3y + -2z)] = 0 -1[x + (-4x + 3y) + 2z + -4(x + -3y + -2z)] = 0 -1[x + -4x + 3y + 2z + (x * -4 + -3y * -4 + -2z * -4)] = 0 -1[x + -4x + 3y + 2z + (-4x + 12y + 8z)] = 0 Reorder the terms: -1[x + -4x + -4x + 3y + 12y + 2z + 8z] = 0 Combine like terms: x + -4x = -3x -1[-3x + -4x + 3y + 12y + 2z + 8z] = 0 Combine like terms: -3x + -4x = -7x -1[-7x + 3y + 12y + 2z + 8z] = 0 Combine like terms: 3y + 12y = 15y -1[-7x + 15y + 2z + 8z] = 0 Combine like terms: 2z + 8z = 10z -1[-7x + 15y + 10z] = 0 [-7x * -1 + 15y * -1 + 10z * -1] = 0 [7x + -15y + -10z] = 0 Solving 7x + -15y + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 7x + -15y + 15y + -10z = 0 + 15y Combine like terms: -15y + 15y = 0 7x + 0 + -10z = 0 + 15y 7x + -10z = 0 + 15y Remove the zero: 7x + -10z = 15y Add '10z' to each side of the equation. 7x + -10z + 10z = 15y + 10z Combine like terms: -10z + 10z = 0 7x + 0 = 15y + 10z 7x = 15y + 10z Divide each side by '7'. x = 2.142857143y + 1.428571429z Simplifying x = 2.142857143y + 1.428571429z
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