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Simplifying 100x + 20 + -100y + -400y = 0 Reorder the terms: 20 + 100x + -100y + -400y = 0 Combine like terms: -100y + -400y = -500y 20 + 100x + -500y = 0 Solving 20 + 100x + -500y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 100x + -20 + -500y = 0 + -20 Reorder the terms: 20 + -20 + 100x + -500y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 100x + -500y = 0 + -20 100x + -500y = 0 + -20 Combine like terms: 0 + -20 = -20 100x + -500y = -20 Add '500y' to each side of the equation. 100x + -500y + 500y = -20 + 500y Combine like terms: -500y + 500y = 0 100x + 0 = -20 + 500y 100x = -20 + 500y Divide each side by '100'. x = -0.2 + 5y Simplifying x = -0.2 + 5y
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