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Simplifying 7(2x + 8y + -4z) = 0 (2x * 7 + 8y * 7 + -4z * 7) = 0 (14x + 56y + -28z) = 0 Solving 14x + 56y + -28z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56y' to each side of the equation. 14x + 56y + -56y + -28z = 0 + -56y Combine like terms: 56y + -56y = 0 14x + 0 + -28z = 0 + -56y 14x + -28z = 0 + -56y Remove the zero: 14x + -28z = -56y Add '28z' to each side of the equation. 14x + -28z + 28z = -56y + 28z Combine like terms: -28z + 28z = 0 14x + 0 = -56y + 28z 14x = -56y + 28z Divide each side by '14'. x = -4y + 2z Simplifying x = -4y + 2z
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