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Simplifying (6x + -5(x + -1)) + 2 = -1(x + -1) Reorder the terms: (6x + -5(-1 + x)) + 2 = -1(x + -1) (6x + (-1 * -5 + x * -5)) + 2 = -1(x + -1) (6x + (5 + -5x)) + 2 = -1(x + -1) Reorder the terms: (5 + 6x + -5x) + 2 = -1(x + -1) Combine like terms: 6x + -5x = 1x (5 + 1x) + 2 = -1(x + -1) Remove parenthesis around (5 + 1x) 5 + 1x + 2 = -1(x + -1) Reorder the terms: 5 + 2 + 1x = -1(x + -1) Combine like terms: 5 + 2 = 7 7 + 1x = -1(x + -1) Reorder the terms: 7 + 1x = -1(-1 + x) 7 + 1x = (-1 * -1 + x * -1) 7 + 1x = (1 + -1x) Solving 7 + 1x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 1x + x = 1 + -1x + x Combine like terms: 1x + x = 2x 7 + 2x = 1 + -1x + x Combine like terms: -1x + x = 0 7 + 2x = 1 + 0 7 + 2x = 1 Add '-7' to each side of the equation. 7 + -7 + 2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 1 + -7 2x = 1 + -7 Combine like terms: 1 + -7 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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