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Simplifying -1x + -5x + 2y + 2y + -7z + -3z = 0 Combine like terms: -1x + -5x = -6x -6x + 2y + 2y + -7z + -3z = 0 Combine like terms: 2y + 2y = 4y -6x + 4y + -7z + -3z = 0 Combine like terms: -7z + -3z = -10z -6x + 4y + -10z = 0 Solving -6x + 4y + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -6x + 4y + -4y + -10z = 0 + -4y Combine like terms: 4y + -4y = 0 -6x + 0 + -10z = 0 + -4y -6x + -10z = 0 + -4y Remove the zero: -6x + -10z = -4y Add '10z' to each side of the equation. -6x + -10z + 10z = -4y + 10z Combine like terms: -10z + 10z = 0 -6x + 0 = -4y + 10z -6x = -4y + 10z Divide each side by '-6'. x = 0.6666666667y + -1.666666667z Simplifying x = 0.6666666667y + -1.666666667z
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