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Simplifying 2x + 8 = 6 + -1(5x + -8) Reorder the terms: 8 + 2x = 6 + -1(5x + -8) Reorder the terms: 8 + 2x = 6 + -1(-8 + 5x) 8 + 2x = 6 + (-8 * -1 + 5x * -1) 8 + 2x = 6 + (8 + -5x) Combine like terms: 6 + 8 = 14 8 + 2x = 14 + -5x Solving 8 + 2x = 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. 8 + 2x + 5x = 14 + -5x + 5x Combine like terms: 2x + 5x = 7x 8 + 7x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 7x = 14 + 0 8 + 7x = 14 Add '-8' to each side of the equation. 8 + -8 + 7x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 14 + -8 7x = 14 + -8 Combine like terms: 14 + -8 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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