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Simplifying 11x + 11y + 11z = 100x + 10y + z Solving 11x + 11y + 11z = 100x + 10y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 11x + 11y + -100x + 11z = 100x + 10y + -100x + z Reorder the terms: 11x + -100x + 11y + 11z = 100x + 10y + -100x + z Combine like terms: 11x + -100x = -89x -89x + 11y + 11z = 100x + 10y + -100x + z Reorder the terms: -89x + 11y + 11z = 100x + -100x + 10y + z Combine like terms: 100x + -100x = 0 -89x + 11y + 11z = 0 + 10y + z -89x + 11y + 11z = 10y + z Add '-11y' to each side of the equation. -89x + 11y + -11y + 11z = 10y + -11y + z Combine like terms: 11y + -11y = 0 -89x + 0 + 11z = 10y + -11y + z -89x + 11z = 10y + -11y + z Combine like terms: 10y + -11y = -1y -89x + 11z = -1y + z Add '-11z' to each side of the equation. -89x + 11z + -11z = -1y + z + -11z Combine like terms: 11z + -11z = 0 -89x + 0 = -1y + z + -11z -89x = -1y + z + -11z Combine like terms: z + -11z = -10z -89x = -1y + -10z Divide each side by '-89'. x = 0.01123595506y + 0.1123595506z Simplifying x = 0.01123595506y + 0.1123595506z
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