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Simplifying 2x + -1[4(2x + -1) + 5] = 3x + -4 Reorder the terms: 2x + -1[4(-1 + 2x) + 5] = 3x + -4 2x + -1[(-1 * 4 + 2x * 4) + 5] = 3x + -4 2x + -1[(-4 + 8x) + 5] = 3x + -4 Reorder the terms: 2x + -1[-4 + 5 + 8x] = 3x + -4 Combine like terms: -4 + 5 = 1 2x + -1[1 + 8x] = 3x + -4 2x + [1 * -1 + 8x * -1] = 3x + -4 2x + [-1 + -8x] = 3x + -4 Reorder the terms: -1 + 2x + -8x = 3x + -4 Combine like terms: 2x + -8x = -6x -1 + -6x = 3x + -4 Reorder the terms: -1 + -6x = -4 + 3x Solving -1 + -6x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -6x + -3x = -4 + 3x + -3x Combine like terms: -6x + -3x = -9x -1 + -9x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -9x = -4 + 0 -1 + -9x = -4 Add '1' to each side of the equation. -1 + 1 + -9x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -4 + 1 -9x = -4 + 1 Combine like terms: -4 + 1 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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