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