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Simplifying 7x + 4y + -3x + 10z + 5y = 0 Reorder the terms: 7x + -3x + 4y + 5y + 10z = 0 Combine like terms: 7x + -3x = 4x 4x + 4y + 5y + 10z = 0 Combine like terms: 4y + 5y = 9y 4x + 9y + 10z = 0 Solving 4x + 9y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 4x + 9y + -9y + 10z = 0 + -9y Combine like terms: 9y + -9y = 0 4x + 0 + 10z = 0 + -9y 4x + 10z = 0 + -9y Remove the zero: 4x + 10z = -9y Add '-10z' to each side of the equation. 4x + 10z + -10z = -9y + -10z Combine like terms: 10z + -10z = 0 4x + 0 = -9y + -10z 4x = -9y + -10z Divide each side by '4'. x = -2.25y + -2.5z Simplifying x = -2.25y + -2.5z
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