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Simplifying 2(4x + 1) + -4(x + 6) + -8x = 0 Reorder the terms: 2(1 + 4x) + -4(x + 6) + -8x = 0 (1 * 2 + 4x * 2) + -4(x + 6) + -8x = 0 (2 + 8x) + -4(x + 6) + -8x = 0 Reorder the terms: 2 + 8x + -4(6 + x) + -8x = 0 2 + 8x + (6 * -4 + x * -4) + -8x = 0 2 + 8x + (-24 + -4x) + -8x = 0 Reorder the terms: 2 + -24 + 8x + -4x + -8x = 0 Combine like terms: 2 + -24 = -22 -22 + 8x + -4x + -8x = 0 Combine like terms: 8x + -4x = 4x -22 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x -22 + -4x = 0 Solving -22 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -4x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = 0 + 22 -4x = 0 + 22 Combine like terms: 0 + 22 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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