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Simplifying 8x + 22y = 12x + 6y Solving 8x + 22y = 12x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x + 22y = 12x + -12x + 6y Combine like terms: 8x + -12x = -4x -4x + 22y = 12x + -12x + 6y Combine like terms: 12x + -12x = 0 -4x + 22y = 0 + 6y -4x + 22y = 6y Add '-22y' to each side of the equation. -4x + 22y + -22y = 6y + -22y Combine like terms: 22y + -22y = 0 -4x + 0 = 6y + -22y -4x = 6y + -22y Combine like terms: 6y + -22y = -16y -4x = -16y Divide each side by '-4'. x = 4y Simplifying x = 4y
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