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Simplifying -1[7x + (7x + 8)] = 1 + -1(8x + 5) Reorder the terms: -1[7x + (8 + 7x)] = 1 + -1(8x + 5) Remove parenthesis around (8 + 7x) -1[7x + 8 + 7x] = 1 + -1(8x + 5) Reorder the terms: -1[8 + 7x + 7x] = 1 + -1(8x + 5) Combine like terms: 7x + 7x = 14x -1[8 + 14x] = 1 + -1(8x + 5) [8 * -1 + 14x * -1] = 1 + -1(8x + 5) [-8 + -14x] = 1 + -1(8x + 5) Reorder the terms: -8 + -14x = 1 + -1(5 + 8x) -8 + -14x = 1 + (5 * -1 + 8x * -1) -8 + -14x = 1 + (-5 + -8x) Combine like terms: 1 + -5 = -4 -8 + -14x = -4 + -8x Solving -8 + -14x = -4 + -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 + -14x + 8x = -4 + -8x + 8x Combine like terms: -14x + 8x = -6x -8 + -6x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -6x = -4 + 0 -8 + -6x = -4 Add '8' to each side of the equation. -8 + 8 + -6x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -4 + 8 -6x = -4 + 8 Combine like terms: -4 + 8 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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