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Simplifying -7(x + -2y + -6z) = 0 (x * -7 + -2y * -7 + -6z * -7) = 0 (-7x + 14y + 42z) = 0 Solving -7x + 14y + 42z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -7x + 14y + -14y + 42z = 0 + -14y Combine like terms: 14y + -14y = 0 -7x + 0 + 42z = 0 + -14y -7x + 42z = 0 + -14y Remove the zero: -7x + 42z = -14y Add '-42z' to each side of the equation. -7x + 42z + -42z = -14y + -42z Combine like terms: 42z + -42z = 0 -7x + 0 = -14y + -42z -7x = -14y + -42z Divide each side by '-7'. x = 2y + 6z Simplifying x = 2y + 6z
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