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Simplifying -2(2 + x) = 2(1 + -4x) (2 * -2 + x * -2) = 2(1 + -4x) (-4 + -2x) = 2(1 + -4x) -4 + -2x = (1 * 2 + -4x * 2) -4 + -2x = (2 + -8x) Solving -4 + -2x = 2 + -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. -4 + -2x + 8x = 2 + -8x + 8x Combine like terms: -2x + 8x = 6x -4 + 6x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 6x = 2 + 0 -4 + 6x = 2 Add '4' to each side of the equation. -4 + 4 + 6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 2 + 4 6x = 2 + 4 Combine like terms: 2 + 4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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