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Simplifying 2(x + 4) = x + 1 Reorder the terms: 2(4 + x) = x + 1 (4 * 2 + x * 2) = x + 1 (8 + 2x) = x + 1 Reorder the terms: 8 + 2x = 1 + x Solving 8 + 2x = 1 + 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. 8 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 8 + 1x = 1 + 0 8 + 1x = 1 Add '-8' to each side of the equation. 8 + -8 + 1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 1 + -8 1x = 1 + -8 Combine like terms: 1 + -8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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