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Simplifying (3x + -2(x + -1)) + -9 = -1(x + -1) Reorder the terms: (3x + -2(-1 + x)) + -9 = -1(x + -1) (3x + (-1 * -2 + x * -2)) + -9 = -1(x + -1) (3x + (2 + -2x)) + -9 = -1(x + -1) Reorder the terms: (2 + 3x + -2x) + -9 = -1(x + -1) Combine like terms: 3x + -2x = 1x (2 + 1x) + -9 = -1(x + -1) Remove parenthesis around (2 + 1x) 2 + 1x + -9 = -1(x + -1) Reorder the terms: 2 + -9 + 1x = -1(x + -1) Combine like terms: 2 + -9 = -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 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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