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Simplifying 3x + -7y + -2z = -6 Solving 3x + -7y + -2z = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y + -2z = -6 + 7y Combine like terms: -7y + 7y = 0 3x + 0 + -2z = -6 + 7y 3x + -2z = -6 + 7y Add '2z' to each side of the equation. 3x + -2z + 2z = -6 + 7y + 2z Combine like terms: -2z + 2z = 0 3x + 0 = -6 + 7y + 2z 3x = -6 + 7y + 2z Divide each side by '3'. x = -2 + 2.333333333y + 0.6666666667z Simplifying x = -2 + 2.333333333y + 0.6666666667z
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