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Simplifying 6x + 7x + -14 = 5x + 6x Reorder the terms: -14 + 6x + 7x = 5x + 6x Combine like terms: 6x + 7x = 13x -14 + 13x = 5x + 6x Combine like terms: 5x + 6x = 11x -14 + 13x = 11x Solving -14 + 13x = 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 = 11x + -11x Combine like terms: 13x + -11x = 2x -14 + 2x = 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 2x = 0 Add '14' to each side of the equation. -14 + 14 + 2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 0 + 14 2x = 0 + 14 Combine like terms: 0 + 14 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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