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Simplifying -1[6x + (8x + 5)] = 8 + -1(7x + 9) Reorder the terms: -1[6x + (5 + 8x)] = 8 + -1(7x + 9) Remove parenthesis around (5 + 8x) -1[6x + 5 + 8x] = 8 + -1(7x + 9) Reorder the terms: -1[5 + 6x + 8x] = 8 + -1(7x + 9) Combine like terms: 6x + 8x = 14x -1[5 + 14x] = 8 + -1(7x + 9) [5 * -1 + 14x * -1] = 8 + -1(7x + 9) [-5 + -14x] = 8 + -1(7x + 9) Reorder the terms: -5 + -14x = 8 + -1(9 + 7x) -5 + -14x = 8 + (9 * -1 + 7x * -1) -5 + -14x = 8 + (-9 + -7x) Combine like terms: 8 + -9 = -1 -5 + -14x = -1 + -7x Solving -5 + -14x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + -14x + 7x = -1 + -7x + 7x Combine like terms: -14x + 7x = -7x -5 + -7x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + -7x = -1 + 0 -5 + -7x = -1 Add '5' to each side of the equation. -5 + 5 + -7x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -1 + 5 -7x = -1 + 5 Combine like terms: -1 + 5 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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