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Simplifying -2x + 3y + -1z = 1 Solving -2x + 3y + -1z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -2x + 3y + -3y + -1z = 1 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 + -1z = 1 + -3y -2x + -1z = 1 + -3y Add 'z' to each side of the equation. -2x + -1z + z = 1 + -3y + z Combine like terms: -1z + z = 0 -2x + 0 = 1 + -3y + z -2x = 1 + -3y + z Divide each side by '-2'. x = -0.5 + 1.5y + -0.5z Simplifying x = -0.5 + 1.5y + -0.5z
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