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Simplifying 11x + 6y + -1(-3x + 3z) = 0 11x + 6y + (-3x * -1 + 3z * -1) = 0 11x + 6y + (3x + -3z) = 0 Reorder the terms: 11x + 3x + 6y + -3z = 0 Combine like terms: 11x + 3x = 14x 14x + 6y + -3z = 0 Solving 14x + 6y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 14x + 6y + -6y + -3z = 0 + -6y Combine like terms: 6y + -6y = 0 14x + 0 + -3z = 0 + -6y 14x + -3z = 0 + -6y Remove the zero: 14x + -3z = -6y Add '3z' to each side of the equation. 14x + -3z + 3z = -6y + 3z Combine like terms: -3z + 3z = 0 14x + 0 = -6y + 3z 14x = -6y + 3z Divide each side by '14'. x = -0.4285714286y + 0.2142857143z Simplifying x = -0.4285714286y + 0.2142857143z
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