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Simplifying 1 + -2[4 + -3(x + -1)] = 4(x + -5) + -1 Reorder the terms: 1 + -2[4 + -3(-1 + x)] = 4(x + -5) + -1 1 + -2[4 + (-1 * -3 + x * -3)] = 4(x + -5) + -1 1 + -2[4 + (3 + -3x)] = 4(x + -5) + -1 Combine like terms: 4 + 3 = 7 1 + -2[7 + -3x] = 4(x + -5) + -1 1 + [7 * -2 + -3x * -2] = 4(x + -5) + -1 1 + [-14 + 6x] = 4(x + -5) + -1 Combine like terms: 1 + -14 = -13 -13 + 6x = 4(x + -5) + -1 Reorder the terms: -13 + 6x = 4(-5 + x) + -1 -13 + 6x = (-5 * 4 + x * 4) + -1 -13 + 6x = (-20 + 4x) + -1 Reorder the terms: -13 + 6x = -20 + -1 + 4x Combine like terms: -20 + -1 = -21 -13 + 6x = -21 + 4x Solving -13 + 6x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 6x + -4x = -21 + 4x + -4x Combine like terms: 6x + -4x = 2x -13 + 2x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 2x = -21 + 0 -13 + 2x = -21 Add '13' to each side of the equation. -13 + 13 + 2x = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -21 + 13 2x = -21 + 13 Combine like terms: -21 + 13 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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