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Simplifying 7x + 4y + 5z + -4x + -2z = 0 Reorder the terms: 7x + -4x + 4y + 5z + -2z = 0 Combine like terms: 7x + -4x = 3x 3x + 4y + 5z + -2z = 0 Combine like terms: 5z + -2z = 3z 3x + 4y + 3z = 0 Solving 3x + 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. 3x + 4y + -4y + 3z = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + 3z = 0 + -4y 3x + 3z = 0 + -4y Remove the zero: 3x + 3z = -4y Add '-3z' to each side of the equation. 3x + 3z + -3z = -4y + -3z Combine like terms: 3z + -3z = 0 3x + 0 = -4y + -3z 3x = -4y + -3z Divide each side by '3'. x = -1.333333333y + -1z Simplifying x = -1.333333333y + -1z
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