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Simplifying -10y + 9x = 10y + 5x Reorder the terms: 9x + -10y = 10y + 5x Reorder the terms: 9x + -10y = 5x + 10y Solving 9x + -10y = 5x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9x + -5x + -10y = 5x + -5x + 10y Combine like terms: 9x + -5x = 4x 4x + -10y = 5x + -5x + 10y Combine like terms: 5x + -5x = 0 4x + -10y = 0 + 10y 4x + -10y = 10y Add '10y' to each side of the equation. 4x + -10y + 10y = 10y + 10y Combine like terms: -10y + 10y = 0 4x + 0 = 10y + 10y 4x = 10y + 10y Combine like terms: 10y + 10y = 20y 4x = 20y Divide each side by '4'. x = 5y Simplifying x = 5y
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