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Simplifying 2x + -3y + -1(5x + -3y + -2z) = 0 2x + -3y + (5x * -1 + -3y * -1 + -2z * -1) = 0 2x + -3y + (-5x + 3y + 2z) = 0 Reorder the terms: 2x + -5x + -3y + 3y + 2z = 0 Combine like terms: 2x + -5x = -3x -3x + -3y + 3y + 2z = 0 Combine like terms: -3y + 3y = 0 -3x + 0 + 2z = 0 -3x + 2z = 0 Solving -3x + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. -3x + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -3x + 0 = 0 + -2z -3x = 0 + -2z Remove the zero: -3x = -2z Divide each side by '-3'. x = 0.6666666667z Simplifying x = 0.6666666667z
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