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Simplifying 6x + 7x + -14 = 6 + 5x + 5x + 6x Reorder the terms: -14 + 6x + 7x = 6 + 5x + 5x + 6x Combine like terms: 6x + 7x = 13x -14 + 13x = 6 + 5x + 5x + 6x Combine like terms: 5x + 5x = 10x -14 + 13x = 6 + 10x + 6x Combine like terms: 10x + 6x = 16x -14 + 13x = 6 + 16x Solving -14 + 13x = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -14 + 13x + -16x = 6 + 16x + -16x Combine like terms: 13x + -16x = -3x -14 + -3x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -14 + -3x = 6 + 0 -14 + -3x = 6 Add '14' to each side of the equation. -14 + 14 + -3x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 6 + 14 -3x = 6 + 14 Combine like terms: 6 + 14 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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