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Simplifying 7x + -1(4y + 3z) = 0 7x + (4y * -1 + 3z * -1) = 0 7x + (-4y + -3z) = 0 Solving 7x + -4y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y + -3z = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 + -3z = 0 + 4y 7x + -3z = 0 + 4y Remove the zero: 7x + -3z = 4y Add '3z' to each side of the equation. 7x + -3z + 3z = 4y + 3z Combine like terms: -3z + 3z = 0 7x + 0 = 4y + 3z 7x = 4y + 3z Divide each side by '7'. x = 0.5714285714y + 0.4285714286z Simplifying x = 0.5714285714y + 0.4285714286z
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