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Simplifying 2[8 + -5(2 + -3x) + -7x] = 4(x + -1abs + -9) 2[8 + (2 * -5 + -3x * -5) + -7x] = 4(x + -1abs + -9) 2[8 + (-10 + 15x) + -7x] = 4(x + -1abs + -9) Combine like terms: 8 + -10 = -2 2[-2 + 15x + -7x] = 4(x + -1abs + -9) Combine like terms: 15x + -7x = 8x 2[-2 + 8x] = 4(x + -1abs + -9) [-2 * 2 + 8x * 2] = 4(x + -1abs + -9) [-4 + 16x] = 4(x + -1abs + -9) Reorder the terms: -4 + 16x = 4(-9 + -1abs + x) -4 + 16x = (-9 * 4 + -1abs * 4 + x * 4) -4 + 16x = (-36 + -4abs + 4x) Solving -4 + 16x = -36 + -4abs + 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 = -36 + -4abs + 4x + -4x Combine like terms: 16x + -4x = 12x -4 + 12x = -36 + -4abs + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 12x = -36 + -4abs + 0 -4 + 12x = -36 + -4abs Add '4' to each side of the equation. -4 + 4 + 12x = -36 + 4 + -4abs Combine like terms: -4 + 4 = 0 0 + 12x = -36 + 4 + -4abs 12x = -36 + 4 + -4abs Combine like terms: -36 + 4 = -32 12x = -32 + -4abs Divide each side by '12'. x = -2.666666667 + -0.3333333333abs Simplifying x = -2.666666667 + -0.3333333333abs
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