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Simplifying 3x + 5y = 4x + 6y + 9 Reorder the terms: 3x + 5y = 9 + 4x + 6y Solving 3x + 5y = 9 + 4x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x + 5y = 9 + 4x + -4x + 6y Combine like terms: 3x + -4x = -1x -1x + 5y = 9 + 4x + -4x + 6y Combine like terms: 4x + -4x = 0 -1x + 5y = 9 + 0 + 6y -1x + 5y = 9 + 6y Add '-5y' to each side of the equation. -1x + 5y + -5y = 9 + 6y + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 9 + 6y + -5y -1x = 9 + 6y + -5y Combine like terms: 6y + -5y = 1y -1x = 9 + 1y Divide each side by '-1'. x = -9 + -1y Simplifying x = -9 + -1y
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