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Simplifying -4(x + -5y + -6z) = 0 (x * -4 + -5y * -4 + -6z * -4) = 0 (-4x + 20y + 24z) = 0 Solving -4x + 20y + 24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. -4x + 20y + -20y + 24z = 0 + -20y Combine like terms: 20y + -20y = 0 -4x + 0 + 24z = 0 + -20y -4x + 24z = 0 + -20y Remove the zero: -4x + 24z = -20y Add '-24z' to each side of the equation. -4x + 24z + -24z = -20y + -24z Combine like terms: 24z + -24z = 0 -4x + 0 = -20y + -24z -4x = -20y + -24z Divide each side by '-4'. x = 5y + 6z Simplifying x = 5y + 6z
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