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Simplifying -2[8 + -5(2 + -3x) + -7x] = 4(x + -21 + -91) -2[8 + (2 * -5 + -3x * -5) + -7x] = 4(x + -21 + -91) -2[8 + (-10 + 15x) + -7x] = 4(x + -21 + -91) Combine like terms: 8 + -10 = -2 -2[-2 + 15x + -7x] = 4(x + -21 + -91) Combine like terms: 15x + -7x = 8x -2[-2 + 8x] = 4(x + -21 + -91) [-2 * -2 + 8x * -2] = 4(x + -21 + -91) [4 + -16x] = 4(x + -21 + -91) Reorder the terms: 4 + -16x = 4(-21 + -91 + x) Combine like terms: -21 + -91 = -112 4 + -16x = 4(-112 + x) 4 + -16x = (-112 * 4 + x * 4) 4 + -16x = (-448 + 4x) Solving 4 + -16x = -448 + 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. 4 + -16x + -4x = -448 + 4x + -4x Combine like terms: -16x + -4x = -20x 4 + -20x = -448 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -20x = -448 + 0 4 + -20x = -448 Add '-4' to each side of the equation. 4 + -4 + -20x = -448 + -4 Combine like terms: 4 + -4 = 0 0 + -20x = -448 + -4 -20x = -448 + -4 Combine like terms: -448 + -4 = -452 -20x = -452 Divide each side by '-20'. x = 22.6 Simplifying x = 22.6
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