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Simplifying (6x + 8y + -1z) + -1(7x + -1y + 5z) = 0 Remove parenthesis around (6x + 8y + -1z) 6x + 8y + -1z + -1(7x + -1y + 5z) = 0 6x + 8y + -1z + (7x * -1 + -1y * -1 + 5z * -1) = 0 6x + 8y + -1z + (-7x + 1y + -5z) = 0 Reorder the terms: 6x + -7x + 8y + 1y + -1z + -5z = 0 Combine like terms: 6x + -7x = -1x -1x + 8y + 1y + -1z + -5z = 0 Combine like terms: 8y + 1y = 9y -1x + 9y + -1z + -5z = 0 Combine like terms: -1z + -5z = -6z -1x + 9y + -6z = 0 Solving -1x + 9y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -1x + 9y + -9y + -6z = 0 + -9y Combine like terms: 9y + -9y = 0 -1x + 0 + -6z = 0 + -9y -1x + -6z = 0 + -9y Remove the zero: -1x + -6z = -9y Add '6z' to each side of the equation. -1x + -6z + 6z = -9y + 6z Combine like terms: -6z + 6z = 0 -1x + 0 = -9y + 6z -1x = -9y + 6z Divide each side by '-1'. x = 9y + -6z Simplifying x = 9y + -6z
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