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