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Simplifying 2[x + -5] + 8 = 21 + x Reorder the terms: 2[-5 + x] + 8 = 21 + x [-5 * 2 + x * 2] + 8 = 21 + x [-10 + 2x] + 8 = 21 + x Reorder the terms: -10 + 8 + 2x = 21 + x Combine like terms: -10 + 8 = -2 -2 + 2x = 21 + x Solving -2 + 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. -2 + 2x + -1x = 21 + x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 21 + x + -1x Combine like terms: x + -1x = 0 -2 + 1x = 21 + 0 -2 + 1x = 21 Add '2' to each side of the equation. -2 + 2 + 1x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 21 + 2 1x = 21 + 2 Combine like terms: 21 + 2 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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