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Simplifying 6x + 2y = 7x + 14y Solving 6x + 2y = 7x + 14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x + 2y = 7x + -7x + 14y Combine like terms: 6x + -7x = -1x -1x + 2y = 7x + -7x + 14y Combine like terms: 7x + -7x = 0 -1x + 2y = 0 + 14y -1x + 2y = 14y Add '-2y' to each side of the equation. -1x + 2y + -2y = 14y + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 14y + -2y -1x = 14y + -2y Combine like terms: 14y + -2y = 12y -1x = 12y Divide each side by '-1'. x = -12y Simplifying x = -12y
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