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Simplifying 2x2 + -3y + 6z = 12 Solving 2x2 + -3y + 6z = 12 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. 2x2 + -3y + 3y + 6z = 12 + 3y Combine like terms: -3y + 3y = 0 2x2 + 0 + 6z = 12 + 3y 2x2 + 6z = 12 + 3y Add '-6z' to each side of the equation. 2x2 + 6z + -6z = 12 + 3y + -6z Combine like terms: 6z + -6z = 0 2x2 + 0 = 12 + 3y + -6z 2x2 = 12 + 3y + -6z Divide each side by '2'. x2 = 6 + 1.5y + -3z Simplifying x2 = 6 + 1.5y + -3z Reorder the terms: -6 + x2 + -1.5y + 3z = 6 + 1.5y + -3z + -6 + -1.5y + 3z Reorder the terms: -6 + x2 + -1.5y + 3z = 6 + -6 + 1.5y + -1.5y + -3z + 3z Combine like terms: 6 + -6 = 0 -6 + x2 + -1.5y + 3z = 0 + 1.5y + -1.5y + -3z + 3z -6 + x2 + -1.5y + 3z = 1.5y + -1.5y + -3z + 3z Combine like terms: 1.5y + -1.5y = 0.0 -6 + x2 + -1.5y + 3z = 0.0 + -3z + 3z -6 + x2 + -1.5y + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -6 + x2 + -1.5y + 3z = 0 The solution to this equation could not be determined.
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