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Simplifying 8x + 5 = 6 + -1(5x + -2) Reorder the terms: 5 + 8x = 6 + -1(5x + -2) Reorder the terms: 5 + 8x = 6 + -1(-2 + 5x) 5 + 8x = 6 + (-2 * -1 + 5x * -1) 5 + 8x = 6 + (2 + -5x) Combine like terms: 6 + 2 = 8 5 + 8x = 8 + -5x Solving 5 + 8x = 8 + -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. 5 + 8x + 5x = 8 + -5x + 5x Combine like terms: 8x + 5x = 13x 5 + 13x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 13x = 8 + 0 5 + 13x = 8 Add '-5' to each side of the equation. 5 + -5 + 13x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 8 + -5 13x = 8 + -5 Combine like terms: 8 + -5 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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