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Simplifying 2x + 6 = 5 + -1(5x + -7) Reorder the terms: 6 + 2x = 5 + -1(5x + -7) Reorder the terms: 6 + 2x = 5 + -1(-7 + 5x) 6 + 2x = 5 + (-7 * -1 + 5x * -1) 6 + 2x = 5 + (7 + -5x) Combine like terms: 5 + 7 = 12 6 + 2x = 12 + -5x Solving 6 + 2x = 12 + -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 + 2x + 5x = 12 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = 12 + 0 6 + 7x = 12 Add '-6' to each side of the equation. 6 + -6 + 7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 12 + -6 7x = 12 + -6 Combine like terms: 12 + -6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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