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Simplifying 6x + 12 = 5x + 5y Reorder the terms: 12 + 6x = 5x + 5y Solving 12 + 6x = 5x + 5y 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. 12 + 6x + -5x = 5x + -5x + 5y Combine like terms: 6x + -5x = 1x 12 + 1x = 5x + -5x + 5y Combine like terms: 5x + -5x = 0 12 + 1x = 0 + 5y 12 + 1x = 5y Add '-12' to each side of the equation. 12 + -12 + 1x = -12 + 5y Combine like terms: 12 + -12 = 0 0 + 1x = -12 + 5y 1x = -12 + 5y Divide each side by '1'. x = -12 + 5y Simplifying x = -12 + 5y
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