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Simplifying 5x + 8y = 9x + 4y Solving 5x + 8y = 9x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5x + -9x + 8y = 9x + -9x + 4y Combine like terms: 5x + -9x = -4x -4x + 8y = 9x + -9x + 4y Combine like terms: 9x + -9x = 0 -4x + 8y = 0 + 4y -4x + 8y = 4y Add '-8y' to each side of the equation. -4x + 8y + -8y = 4y + -8y Combine like terms: 8y + -8y = 0 -4x + 0 = 4y + -8y -4x = 4y + -8y Combine like terms: 4y + -8y = -4y -4x = -4y Divide each side by '-4'. x = y Simplifying x = y
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