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Simplifying 6x + 2y + -3z = 2 Solving 6x + 2y + -3z = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 6x + 2y + -2y + -3z = 2 + -2y Combine like terms: 2y + -2y = 0 6x + 0 + -3z = 2 + -2y 6x + -3z = 2 + -2y Add '3z' to each side of the equation. 6x + -3z + 3z = 2 + -2y + 3z Combine like terms: -3z + 3z = 0 6x + 0 = 2 + -2y + 3z 6x = 2 + -2y + 3z Divide each side by '6'. x = 0.3333333333 + -0.3333333333y + 0.5z Simplifying x = 0.3333333333 + -0.3333333333y + 0.5z
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