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Simplifying 2x + 12y = 8y + -4x Reorder the terms: 2x + 12y = -4x + 8y Solving 2x + 12y = -4x + 8y 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. 2x + 4x + 12y = -4x + 4x + 8y Combine like terms: 2x + 4x = 6x 6x + 12y = -4x + 4x + 8y Combine like terms: -4x + 4x = 0 6x + 12y = 0 + 8y 6x + 12y = 8y Add '-12y' to each side of the equation. 6x + 12y + -12y = 8y + -12y Combine like terms: 12y + -12y = 0 6x + 0 = 8y + -12y 6x = 8y + -12y Combine like terms: 8y + -12y = -4y 6x = -4y Divide each side by '6'. x = -0.6666666667y Simplifying x = -0.6666666667y
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