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Simplifying 6x + 8 = 5 + -1(8x + -7) Reorder the terms: 8 + 6x = 5 + -1(8x + -7) Reorder the terms: 8 + 6x = 5 + -1(-7 + 8x) 8 + 6x = 5 + (-7 * -1 + 8x * -1) 8 + 6x = 5 + (7 + -8x) Combine like terms: 5 + 7 = 12 8 + 6x = 12 + -8x Solving 8 + 6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x 8 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 14x = 12 + 0 8 + 14x = 12 Add '-8' to each side of the equation. 8 + -8 + 14x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 12 + -8 14x = 12 + -8 Combine like terms: 12 + -8 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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