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Simplifying -2(2 + x) + 4(1 + 8x) = 8x + 6x (2 * -2 + x * -2) + 4(1 + 8x) = 8x + 6x (-4 + -2x) + 4(1 + 8x) = 8x + 6x -4 + -2x + (1 * 4 + 8x * 4) = 8x + 6x -4 + -2x + (4 + 32x) = 8x + 6x Reorder the terms: -4 + 4 + -2x + 32x = 8x + 6x Combine like terms: -4 + 4 = 0 0 + -2x + 32x = 8x + 6x -2x + 32x = 8x + 6x Combine like terms: -2x + 32x = 30x 30x = 8x + 6x Combine like terms: 8x + 6x = 14x 30x = 14x Solving 30x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 30x + -14x = 14x + -14x Combine like terms: 30x + -14x = 16x 16x = 14x + -14x Combine like terms: 14x + -14x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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