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Simplifying 2x + y + -3z = 6 Solving 2x + y + -3z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y + -3z = 6 + -1y Combine like terms: y + -1y = 0 2x + 0 + -3z = 6 + -1y 2x + -3z = 6 + -1y Add '3z' to each side of the equation. 2x + -3z + 3z = 6 + -1y + 3z Combine like terms: -3z + 3z = 0 2x + 0 = 6 + -1y + 3z 2x = 6 + -1y + 3z Divide each side by '2'. x = 3 + -0.5y + 1.5z Simplifying x = 3 + -0.5y + 1.5z
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