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Simplifying -2(-4x + 8) + 8x = -5(1 + -5x) + -8x Reorder the terms: -2(8 + -4x) + 8x = -5(1 + -5x) + -8x (8 * -2 + -4x * -2) + 8x = -5(1 + -5x) + -8x (-16 + 8x) + 8x = -5(1 + -5x) + -8x Combine like terms: 8x + 8x = 16x -16 + 16x = -5(1 + -5x) + -8x -16 + 16x = (1 * -5 + -5x * -5) + -8x -16 + 16x = (-5 + 25x) + -8x Combine like terms: 25x + -8x = 17x -16 + 16x = -5 + 17x Solving -16 + 16x = -5 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -16 + 16x + -17x = -5 + 17x + -17x Combine like terms: 16x + -17x = -1x -16 + -1x = -5 + 17x + -17x Combine like terms: 17x + -17x = 0 -16 + -1x = -5 + 0 -16 + -1x = -5 Add '16' to each side of the equation. -16 + 16 + -1x = -5 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -5 + 16 -1x = -5 + 16 Combine like terms: -5 + 16 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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