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Simplifying 3x + 4y = 5x + 6y Solving 3x + 4y = 5x + 6y 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. 3x + -5x + 4y = 5x + -5x + 6y Combine like terms: 3x + -5x = -2x -2x + 4y = 5x + -5x + 6y Combine like terms: 5x + -5x = 0 -2x + 4y = 0 + 6y -2x + 4y = 6y Add '-4y' to each side of the equation. -2x + 4y + -4y = 6y + -4y Combine like terms: 4y + -4y = 0 -2x + 0 = 6y + -4y -2x = 6y + -4y Combine like terms: 6y + -4y = 2y -2x = 2y Divide each side by '-2'. x = -1y Simplifying x = -1y
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