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Simplifying 9x + 2y = 5x + 3y Solving 9x + 2y = 5x + 3y 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 + 2y = 5x + -5x + 3y Combine like terms: 9x + -5x = 4x 4x + 2y = 5x + -5x + 3y Combine like terms: 5x + -5x = 0 4x + 2y = 0 + 3y 4x + 2y = 3y Add '-2y' to each side of the equation. 4x + 2y + -2y = 3y + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 3y + -2y 4x = 3y + -2y Combine like terms: 3y + -2y = 1y 4x = 1y Divide each side by '4'. x = 0.25y Simplifying x = 0.25y
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