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