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Simplifying 6y + x = 2x + 12y Reorder the terms: x + 6y = 2x + 12y Solving x + 6y = 2x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. x + -2x + 6y = 2x + -2x + 12y Combine like terms: x + -2x = -1x -1x + 6y = 2x + -2x + 12y Combine like terms: 2x + -2x = 0 -1x + 6y = 0 + 12y -1x + 6y = 12y Add '-6y' to each side of the equation. -1x + 6y + -6y = 12y + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = 12y + -6y -1x = 12y + -6y Combine like terms: 12y + -6y = 6y -1x = 6y Divide each side by '-1'. x = -6y Simplifying x = -6y
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