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Simplifying 6x + -14 + 7x = 5x + 6 + 6x Reorder the terms: -14 + 6x + 7x = 5x + 6 + 6x Combine like terms: 6x + 7x = 13x -14 + 13x = 5x + 6 + 6x Reorder the terms: -14 + 13x = 6 + 5x + 6x Combine like terms: 5x + 6x = 11x -14 + 13x = 6 + 11x Solving -14 + 13x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -14 + 13x + -11x = 6 + 11x + -11x Combine like terms: 13x + -11x = 2x -14 + 2x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 2x = 6 + 0 -14 + 2x = 6 Add '14' to each side of the equation. -14 + 14 + 2x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 6 + 14 2x = 6 + 14 Combine like terms: 6 + 14 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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