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Simplifying -7[-6x + -6 + -5(x + 1)] = -5x + -5 Reorder the terms: -7[-6x + -6 + -5(1 + x)] = -5x + -5 -7[-6x + -6 + (1 * -5 + x * -5)] = -5x + -5 -7[-6x + -6 + (-5 + -5x)] = -5x + -5 Reorder the terms: -7[-6 + -5 + -6x + -5x] = -5x + -5 Combine like terms: -6 + -5 = -11 -7[-11 + -6x + -5x] = -5x + -5 Combine like terms: -6x + -5x = -11x -7[-11 + -11x] = -5x + -5 [-11 * -7 + -11x * -7] = -5x + -5 [77 + 77x] = -5x + -5 Reorder the terms: 77 + 77x = -5 + -5x Solving 77 + 77x = -5 + -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. 77 + 77x + 5x = -5 + -5x + 5x Combine like terms: 77x + 5x = 82x 77 + 82x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 77 + 82x = -5 + 0 77 + 82x = -5 Add '-77' to each side of the equation. 77 + -77 + 82x = -5 + -77 Combine like terms: 77 + -77 = 0 0 + 82x = -5 + -77 82x = -5 + -77 Combine like terms: -5 + -77 = -82 82x = -82 Divide each side by '82'. x = -1 Simplifying x = -1
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