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Simplifying 100x + 25y + 40z = 0 Solving 100x + 25y + 40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. 100x + 25y + -25y + 40z = 0 + -25y Combine like terms: 25y + -25y = 0 100x + 0 + 40z = 0 + -25y 100x + 40z = 0 + -25y Remove the zero: 100x + 40z = -25y Add '-40z' to each side of the equation. 100x + 40z + -40z = -25y + -40z Combine like terms: 40z + -40z = 0 100x + 0 = -25y + -40z 100x = -25y + -40z Divide each side by '100'. x = -0.25y + -0.4z Simplifying x = -0.25y + -0.4z
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