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Simplifying 2[8 + -5(2 + -3x) + -7x] = 4(x + -1 + -91) 2[8 + (2 * -5 + -3x * -5) + -7x] = 4(x + -1 + -91) 2[8 + (-10 + 15x) + -7x] = 4(x + -1 + -91) Combine like terms: 8 + -10 = -2 2[-2 + 15x + -7x] = 4(x + -1 + -91) Combine like terms: 15x + -7x = 8x 2[-2 + 8x] = 4(x + -1 + -91) [-2 * 2 + 8x * 2] = 4(x + -1 + -91) [-4 + 16x] = 4(x + -1 + -91) Reorder the terms: -4 + 16x = 4(-1 + -91 + x) Combine like terms: -1 + -91 = -92 -4 + 16x = 4(-92 + x) -4 + 16x = (-92 * 4 + x * 4) -4 + 16x = (-368 + 4x) Solving -4 + 16x = -368 + 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 = -368 + 4x + -4x Combine like terms: 16x + -4x = 12x -4 + 12x = -368 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 12x = -368 + 0 -4 + 12x = -368 Add '4' to each side of the equation. -4 + 4 + 12x = -368 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = -368 + 4 12x = -368 + 4 Combine like terms: -368 + 4 = -364 12x = -364 Divide each side by '12'. x = -30.33333333 Simplifying x = -30.33333333
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