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Simplifying 6 + 7x = 14 + -5x Solving 6 + 7x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 7x + 5x = 14 + -5x + 5x Combine like terms: 7x + 5x = 12x 6 + 12x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 12x = 14 + 0 6 + 12x = 14 Add '-6' to each side of the equation. 6 + -6 + 12x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 14 + -6 12x = 14 + -6 Combine like terms: 14 + -6 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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