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Simplifying 5x + 6 = 8 + -1(8x + -5) Reorder the terms: 6 + 5x = 8 + -1(8x + -5) Reorder the terms: 6 + 5x = 8 + -1(-5 + 8x) 6 + 5x = 8 + (-5 * -1 + 8x * -1) 6 + 5x = 8 + (5 + -8x) Combine like terms: 8 + 5 = 13 6 + 5x = 13 + -8x Solving 6 + 5x = 13 + -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. 6 + 5x + 8x = 13 + -8x + 8x Combine like terms: 5x + 8x = 13x 6 + 13x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 13x = 13 + 0 6 + 13x = 13 Add '-6' to each side of the equation. 6 + -6 + 13x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 13 + -6 13x = 13 + -6 Combine like terms: 13 + -6 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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