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