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Simplifying 12x + 3y = 4x + 6y Solving 12x + 3y = 4x + 6y 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. 12x + -4x + 3y = 4x + -4x + 6y Combine like terms: 12x + -4x = 8x 8x + 3y = 4x + -4x + 6y Combine like terms: 4x + -4x = 0 8x + 3y = 0 + 6y 8x + 3y = 6y Add '-3y' to each side of the equation. 8x + 3y + -3y = 6y + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 6y + -3y 8x = 6y + -3y Combine like terms: 6y + -3y = 3y 8x = 3y Divide each side by '8'. x = 0.375y Simplifying x = 0.375y
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