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Simplifying 7(x + -3y + -6z) = 0 (x * 7 + -3y * 7 + -6z * 7) = 0 (7x + -21y + -42z) = 0 Solving 7x + -21y + -42z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 7x + -21y + 21y + -42z = 0 + 21y Combine like terms: -21y + 21y = 0 7x + 0 + -42z = 0 + 21y 7x + -42z = 0 + 21y Remove the zero: 7x + -42z = 21y Add '42z' to each side of the equation. 7x + -42z + 42z = 21y + 42z Combine like terms: -42z + 42z = 0 7x + 0 = 21y + 42z 7x = 21y + 42z Divide each side by '7'. x = 3y + 6z Simplifying x = 3y + 6z
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