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Simplifying x + -1(4x + -3y) + 2z + -4(x + -3y + -2z) = 0 x + (4x * -1 + -3y * -1) + 2z + -4(x + -3y + -2z) = 0 x + (-4x + 3y) + 2z + -4(x + -3y + -2z) = 0 x + -4x + 3y + 2z + (x * -4 + -3y * -4 + -2z * -4) = 0 x + -4x + 3y + 2z + (-4x + 12y + 8z) = 0 Reorder the terms: x + -4x + -4x + 3y + 12y + 2z + 8z = 0 Combine like terms: x + -4x = -3x -3x + -4x + 3y + 12y + 2z + 8z = 0 Combine like terms: -3x + -4x = -7x -7x + 3y + 12y + 2z + 8z = 0 Combine like terms: 3y + 12y = 15y -7x + 15y + 2z + 8z = 0 Combine like terms: 2z + 8z = 10z -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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