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Simplifying 7(8x + 4y + 6z) = 0 (8x * 7 + 4y * 7 + 6z * 7) = 0 (56x + 28y + 42z) = 0 Solving 56x + 28y + 42z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. 56x + 28y + -28y + 42z = 0 + -28y Combine like terms: 28y + -28y = 0 56x + 0 + 42z = 0 + -28y 56x + 42z = 0 + -28y Remove the zero: 56x + 42z = -28y Add '-42z' to each side of the equation. 56x + 42z + -42z = -28y + -42z Combine like terms: 42z + -42z = 0 56x + 0 = -28y + -42z 56x = -28y + -42z Divide each side by '56'. x = -0.5y + -0.75z Simplifying x = -0.5y + -0.75z
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