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Simplifying 2x + -2[8(x + 4) + -1(x + -4)] + -2 = 0 Reorder the terms: 2x + -2[8(4 + x) + -1(x + -4)] + -2 = 0 2x + -2[(4 * 8 + x * 8) + -1(x + -4)] + -2 = 0 2x + -2[(32 + 8x) + -1(x + -4)] + -2 = 0 Reorder the terms: 2x + -2[32 + 8x + -1(-4 + x)] + -2 = 0 2x + -2[32 + 8x + (-4 * -1 + x * -1)] + -2 = 0 2x + -2[32 + 8x + (4 + -1x)] + -2 = 0 Reorder the terms: 2x + -2[32 + 4 + 8x + -1x] + -2 = 0 Combine like terms: 32 + 4 = 36 2x + -2[36 + 8x + -1x] + -2 = 0 Combine like terms: 8x + -1x = 7x 2x + -2[36 + 7x] + -2 = 0 2x + [36 * -2 + 7x * -2] + -2 = 0 2x + [-72 + -14x] + -2 = 0 Reorder the terms: -72 + -2 + 2x + -14x = 0 Combine like terms: -72 + -2 = -74 -74 + 2x + -14x = 0 Combine like terms: 2x + -14x = -12x -74 + -12x = 0 Solving -74 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -12x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + -12x = 0 + 74 -12x = 0 + 74 Combine like terms: 0 + 74 = 74 -12x = 74 Divide each side by '-12'. x = -6.166666667 Simplifying x = -6.166666667
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