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Simplifying 12x + 8 = 7 + -2x + 6 Reorder the terms: 8 + 12x = 7 + -2x + 6 Reorder the terms: 8 + 12x = 7 + 6 + -2x Combine like terms: 7 + 6 = 13 8 + 12x = 13 + -2x Solving 8 + 12x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 12x + 2x = 13 + -2x + 2x Combine like terms: 12x + 2x = 14x 8 + 14x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 14x = 13 + 0 8 + 14x = 13 Add '-8' to each side of the equation. 8 + -8 + 14x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 13 + -8 14x = 13 + -8 Combine like terms: 13 + -8 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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