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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 = 1 1 + -2[1 + -3x] = 4(x + -5) + 1 1 + [1 * -2 + -3x * -2] = 4(x + -5) + 1 1 + [-2 + 6x] = 4(x + -5) + 1 Combine like terms: 1 + -2 = -1 -1 + 6x = 4(x + -5) + 1 Reorder the terms: -1 + 6x = 4(-5 + x) + 1 -1 + 6x = (-5 * 4 + x * 4) + 1 -1 + 6x = (-20 + 4x) + 1 Reorder the terms: -1 + 6x = -20 + 1 + 4x Combine like terms: -20 + 1 = -19 -1 + 6x = -19 + 4x Solving -1 + 6x = -19 + 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. -1 + 6x + -4x = -19 + 4x + -4x Combine like terms: 6x + -4x = 2x -1 + 2x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 2x = -19 + 0 -1 + 2x = -19 Add '1' to each side of the equation. -1 + 1 + 2x = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -19 + 1 2x = -19 + 1 Combine like terms: -19 + 1 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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