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Simplifying -4x + 3y + x + -2z + 2y = 0 Reorder the terms: -4x + x + 3y + 2y + -2z = 0 Combine like terms: -4x + x = -3x -3x + 3y + 2y + -2z = 0 Combine like terms: 3y + 2y = 5y -3x + 5y + -2z = 0 Solving -3x + 5y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -3x + 5y + -5y + -2z = 0 + -5y Combine like terms: 5y + -5y = 0 -3x + 0 + -2z = 0 + -5y -3x + -2z = 0 + -5y Remove the zero: -3x + -2z = -5y Add '2z' to each side of the equation. -3x + -2z + 2z = -5y + 2z Combine like terms: -2z + 2z = 0 -3x + 0 = -5y + 2z -3x = -5y + 2z Divide each side by '-3'. x = 1.666666667y + -0.6666666667z Simplifying x = 1.666666667y + -0.6666666667z
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