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Simplifying 2(2x + 1) = 4x + -8x Reorder the terms: 2(1 + 2x) = 4x + -8x (1 * 2 + 2x * 2) = 4x + -8x (2 + 4x) = 4x + -8x Combine like terms: 4x + -8x = -4x 2 + 4x = -4x Solving 2 + 4x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 2 + 8x = -4x + 4x Combine like terms: -4x + 4x = 0 2 + 8x = 0 Add '-2' to each side of the equation. 2 + -2 + 8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 0 + -2 8x = 0 + -2 Combine like terms: 0 + -2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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