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Simplifying x + -1[11 + 2x + -1(4x + 7)] = x + -8 Reorder the terms: x + -1[11 + 2x + -1(7 + 4x)] = x + -8 x + -1[11 + 2x + (7 * -1 + 4x * -1)] = x + -8 x + -1[11 + 2x + (-7 + -4x)] = x + -8 Reorder the terms: x + -1[11 + -7 + 2x + -4x] = x + -8 Combine like terms: 11 + -7 = 4 x + -1[4 + 2x + -4x] = x + -8 Combine like terms: 2x + -4x = -2x x + -1[4 + -2x] = x + -8 x + [4 * -1 + -2x * -1] = x + -8 x + [-4 + 2x] = x + -8 Reorder the terms: -4 + x + 2x = x + -8 Combine like terms: x + 2x = 3x -4 + 3x = x + -8 Reorder the terms: -4 + 3x = -8 + x Solving -4 + 3x = -8 + x 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. -4 + 3x + -1x = -8 + x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = -8 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = -8 + 0 -4 + 2x = -8 Add '4' to each side of the equation. -4 + 4 + 2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -8 + 4 2x = -8 + 4 Combine like terms: -8 + 4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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