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Simplifying (8x + -1) + -1(8x + -5) + (7x + 5) = -1(6x + 5) Reorder the terms: (-1 + 8x) + -1(8x + -5) + (7x + 5) = -1(6x + 5) Remove parenthesis around (-1 + 8x) -1 + 8x + -1(8x + -5) + (7x + 5) = -1(6x + 5) Reorder the terms: -1 + 8x + -1(-5 + 8x) + (7x + 5) = -1(6x + 5) -1 + 8x + (-5 * -1 + 8x * -1) + (7x + 5) = -1(6x + 5) -1 + 8x + (5 + -8x) + (7x + 5) = -1(6x + 5) Reorder the terms: -1 + 8x + 5 + -8x + (5 + 7x) = -1(6x + 5) Remove parenthesis around (5 + 7x) -1 + 8x + 5 + -8x + 5 + 7x = -1(6x + 5) Reorder the terms: -1 + 5 + 5 + 8x + -8x + 7x = -1(6x + 5) Combine like terms: -1 + 5 = 4 4 + 5 + 8x + -8x + 7x = -1(6x + 5) Combine like terms: 4 + 5 = 9 9 + 8x + -8x + 7x = -1(6x + 5) Combine like terms: 8x + -8x = 0 9 + 0 + 7x = -1(6x + 5) 9 + 7x = -1(6x + 5) Reorder the terms: 9 + 7x = -1(5 + 6x) 9 + 7x = (5 * -1 + 6x * -1) 9 + 7x = (-5 + -6x) Solving 9 + 7x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 7x + 6x = -5 + -6x + 6x Combine like terms: 7x + 6x = 13x 9 + 13x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 13x = -5 + 0 9 + 13x = -5 Add '-9' to each side of the equation. 9 + -9 + 13x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -5 + -9 13x = -5 + -9 Combine like terms: -5 + -9 = -14 13x = -14 Divide each side by '13'. x = -1.076923077 Simplifying x = -1.076923077
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