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Simplifying 4(-5x + -6y + -7z) = 0 (-5x * 4 + -6y * 4 + -7z * 4) = 0 (-20x + -24y + -28z) = 0 Solving -20x + -24y + -28z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. -20x + -24y + 24y + -28z = 0 + 24y Combine like terms: -24y + 24y = 0 -20x + 0 + -28z = 0 + 24y -20x + -28z = 0 + 24y Remove the zero: -20x + -28z = 24y Add '28z' to each side of the equation. -20x + -28z + 28z = 24y + 28z Combine like terms: -28z + 28z = 0 -20x + 0 = 24y + 28z -20x = 24y + 28z Divide each side by '-20'. x = -1.2y + -1.4z Simplifying x = -1.2y + -1.4z
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