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Simplifying 6x + 4y = 3x + 12y Solving 6x + 4y = 3x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x + 4y = 3x + -3x + 12y Combine like terms: 6x + -3x = 3x 3x + 4y = 3x + -3x + 12y Combine like terms: 3x + -3x = 0 3x + 4y = 0 + 12y 3x + 4y = 12y Add '-4y' to each side of the equation. 3x + 4y + -4y = 12y + -4y Combine like terms: 4y + -4y = 0 3x + 0 = 12y + -4y 3x = 12y + -4y Combine like terms: 12y + -4y = 8y 3x = 8y Divide each side by '3'. x = 2.666666667y Simplifying x = 2.666666667y
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