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Simplifying 2x + -1 = -2[2 + -1(3x + -4) + 7] + 2x Reorder the terms: -1 + 2x = -2[2 + -1(3x + -4) + 7] + 2x Reorder the terms: -1 + 2x = -2[2 + -1(-4 + 3x) + 7] + 2x -1 + 2x = -2[2 + (-4 * -1 + 3x * -1) + 7] + 2x -1 + 2x = -2[2 + (4 + -3x) + 7] + 2x Reorder the terms: -1 + 2x = -2[2 + 4 + 7 + -3x] + 2x Combine like terms: 2 + 4 = 6 -1 + 2x = -2[6 + 7 + -3x] + 2x Combine like terms: 6 + 7 = 13 -1 + 2x = -2[13 + -3x] + 2x -1 + 2x = [13 * -2 + -3x * -2] + 2x -1 + 2x = [-26 + 6x] + 2x Combine like terms: 6x + 2x = 8x -1 + 2x = -26 + 8x Solving -1 + 2x = -26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 2x + -8x = -26 + 8x + -8x Combine like terms: 2x + -8x = -6x -1 + -6x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -6x = -26 + 0 -1 + -6x = -26 Add '1' to each side of the equation. -1 + 1 + -6x = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = -26 + 1 -6x = -26 + 1 Combine like terms: -26 + 1 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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