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Simplifying 5x + 12y = 4x + 14y Solving 5x + 12y = 4x + 14y 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. 5x + -4x + 12y = 4x + -4x + 14y Combine like terms: 5x + -4x = 1x 1x + 12y = 4x + -4x + 14y Combine like terms: 4x + -4x = 0 1x + 12y = 0 + 14y 1x + 12y = 14y Add '-12y' to each side of the equation. 1x + 12y + -12y = 14y + -12y Combine like terms: 12y + -12y = 0 1x + 0 = 14y + -12y 1x = 14y + -12y Combine like terms: 14y + -12y = 2y 1x = 2y Divide each side by '1'. x = 2y Simplifying x = 2y
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