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Simplifying 10x + 4y + 7z + -5y + 4z + -5y = 0 Reorder the terms: 10x + 4y + -5y + -5y + 7z + 4z = 0 Combine like terms: 4y + -5y = -1y 10x + -1y + -5y + 7z + 4z = 0 Combine like terms: -1y + -5y = -6y 10x + -6y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z 10x + -6y + 11z = 0 Solving 10x + -6y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 10x + -6y + 6y + 11z = 0 + 6y Combine like terms: -6y + 6y = 0 10x + 0 + 11z = 0 + 6y 10x + 11z = 0 + 6y Remove the zero: 10x + 11z = 6y Add '-11z' to each side of the equation. 10x + 11z + -11z = 6y + -11z Combine like terms: 11z + -11z = 0 10x + 0 = 6y + -11z 10x = 6y + -11z Divide each side by '10'. x = 0.6y + -1.1z Simplifying x = 0.6y + -1.1z
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