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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 = -33x -16 + 16x = 5 + -33x Solving -16 + 16x = 5 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -16 + 16x + 33x = 5 + -33x + 33x Combine like terms: 16x + 33x = 49x -16 + 49x = 5 + -33x + 33x Combine like terms: -33x + 33x = 0 -16 + 49x = 5 + 0 -16 + 49x = 5 Add '16' to each side of the equation. -16 + 16 + 49x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 49x = 5 + 16 49x = 5 + 16 Combine like terms: 5 + 16 = 21 49x = 21 Divide each side by '49'. x = 0.4285714286 Simplifying x = 0.4285714286
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