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Simplifying 2x + [3x + -1(x + -2)] = 3x + (-2x + -7) + -1 Reorder the terms: 2x + [3x + -1(-2 + x)] = 3x + (-2x + -7) + -1 2x + [3x + (-2 * -1 + x * -1)] = 3x + (-2x + -7) + -1 2x + [3x + (2 + -1x)] = 3x + (-2x + -7) + -1 Reorder the terms: 2x + [2 + 3x + -1x] = 3x + (-2x + -7) + -1 Combine like terms: 3x + -1x = 2x 2x + [2 + 2x] = 3x + (-2x + -7) + -1 Remove brackets around [2 + 2x] 2x + 2 + 2x = 3x + (-2x + -7) + -1 Reorder the terms: 2 + 2x + 2x = 3x + (-2x + -7) + -1 Combine like terms: 2x + 2x = 4x 2 + 4x = 3x + (-2x + -7) + -1 Reorder the terms: 2 + 4x = 3x + (-7 + -2x) + -1 Remove parenthesis around (-7 + -2x) 2 + 4x = 3x + -7 + -2x + -1 Reorder the terms: 2 + 4x = -7 + -1 + 3x + -2x Combine like terms: -7 + -1 = -8 2 + 4x = -8 + 3x + -2x Combine like terms: 3x + -2x = 1x 2 + 4x = -8 + 1x Solving 2 + 4x = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 4x + -1x = -8 + 1x + -1x Combine like terms: 4x + -1x = 3x 2 + 3x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 3x = -8 + 0 2 + 3x = -8 Add '-2' to each side of the equation. 2 + -2 + 3x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -8 + -2 3x = -8 + -2 Combine like terms: -8 + -2 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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