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Simplifying 6x + 5y + -4(6x + -6y + 9z) = 0 6x + 5y + (6x * -4 + -6y * -4 + 9z * -4) = 0 6x + 5y + (-24x + 24y + -36z) = 0 Reorder the terms: 6x + -24x + 5y + 24y + -36z = 0 Combine like terms: 6x + -24x = -18x -18x + 5y + 24y + -36z = 0 Combine like terms: 5y + 24y = 29y -18x + 29y + -36z = 0 Solving -18x + 29y + -36z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. -18x + 29y + -29y + -36z = 0 + -29y Combine like terms: 29y + -29y = 0 -18x + 0 + -36z = 0 + -29y -18x + -36z = 0 + -29y Remove the zero: -18x + -36z = -29y Add '36z' to each side of the equation. -18x + -36z + 36z = -29y + 36z Combine like terms: -36z + 36z = 0 -18x + 0 = -29y + 36z -18x = -29y + 36z Divide each side by '-18'. x = 1.611111111y + -2z Simplifying x = 1.611111111y + -2z
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