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Simplifying x + -2y + -1(7x + 15y + 10z) = 0 x + -2y + (7x * -1 + 15y * -1 + 10z * -1) = 0 x + -2y + (-7x + -15y + -10z) = 0 Reorder the terms: x + -7x + -2y + -15y + -10z = 0 Combine like terms: x + -7x = -6x -6x + -2y + -15y + -10z = 0 Combine like terms: -2y + -15y = -17y -6x + -17y + -10z = 0 Solving -6x + -17y + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. -6x + -17y + 17y + -10z = 0 + 17y Combine like terms: -17y + 17y = 0 -6x + 0 + -10z = 0 + 17y -6x + -10z = 0 + 17y Remove the zero: -6x + -10z = 17y Add '10z' to each side of the equation. -6x + -10z + 10z = 17y + 10z Combine like terms: -10z + 10z = 0 -6x + 0 = 17y + 10z -6x = 17y + 10z Divide each side by '-6'. x = -2.833333333y + -1.666666667z Simplifying x = -2.833333333y + -1.666666667z
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