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Simplifying x + 21 = 2(x + 1) + 2 Reorder the terms: 21 + x = 2(x + 1) + 2 Reorder the terms: 21 + x = 2(1 + x) + 2 21 + x = (1 * 2 + x * 2) + 2 21 + x = (2 + 2x) + 2 Reorder the terms: 21 + x = 2 + 2 + 2x Combine like terms: 2 + 2 = 4 21 + x = 4 + 2x Solving 21 + x = 4 + 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. 21 + x + -2x = 4 + 2x + -2x Combine like terms: x + -2x = -1x 21 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -1x = 4 + 0 21 + -1x = 4 Add '-21' to each side of the equation. 21 + -21 + -1x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 4 + -21 -1x = 4 + -21 Combine like terms: 4 + -21 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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