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Simplifying 7x + -6 + 5x = 6x + 7 Reorder the terms: -6 + 7x + 5x = 6x + 7 Combine like terms: 7x + 5x = 12x -6 + 12x = 6x + 7 Reorder the terms: -6 + 12x = 7 + 6x Solving -6 + 12x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 12x + -6x = 7 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 7 + 0 -6 + 6x = 7 Add '6' to each side of the equation. -6 + 6 + 6x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 7 + 6 6x = 7 + 6 Combine like terms: 7 + 6 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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