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Simplifying 10x + 2y + 7z + -5x + 4z + -4y = 0 Reorder the terms: 10x + -5x + 2y + -4y + 7z + 4z = 0 Combine like terms: 10x + -5x = 5x 5x + 2y + -4y + 7z + 4z = 0 Combine like terms: 2y + -4y = -2y 5x + -2y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z 5x + -2y + 11z = 0 Solving 5x + -2y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 11z = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 11z = 0 + 2y 5x + 11z = 0 + 2y Remove the zero: 5x + 11z = 2y Add '-11z' to each side of the equation. 5x + 11z + -11z = 2y + -11z Combine like terms: 11z + -11z = 0 5x + 0 = 2y + -11z 5x = 2y + -11z Divide each side by '5'. x = 0.4y + -2.2z Simplifying x = 0.4y + -2.2z
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