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Simplifying 2[x + 8] = x + 21 Reorder the terms: 2[8 + x] = x + 21 [8 * 2 + x * 2] = x + 21 [16 + 2x] = x + 21 Reorder the terms: 16 + 2x = 21 + x Solving 16 + 2x = 21 + 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. 16 + 2x + -1x = 21 + x + -1x Combine like terms: 2x + -1x = 1x 16 + 1x = 21 + x + -1x Combine like terms: x + -1x = 0 16 + 1x = 21 + 0 16 + 1x = 21 Add '-16' to each side of the equation. 16 + -16 + 1x = 21 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 21 + -16 1x = 21 + -16 Combine like terms: 21 + -16 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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