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Simplifying 100x + 100y + 65z = 0 Solving 100x + 100y + 65z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100y' to each side of the equation. 100x + 100y + -100y + 65z = 0 + -100y Combine like terms: 100y + -100y = 0 100x + 0 + 65z = 0 + -100y 100x + 65z = 0 + -100y Remove the zero: 100x + 65z = -100y Add '-65z' to each side of the equation. 100x + 65z + -65z = -100y + -65z Combine like terms: 65z + -65z = 0 100x + 0 = -100y + -65z 100x = -100y + -65z Divide each side by '100'. x = -1y + -0.65z Simplifying x = -1y + -0.65z
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