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