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Simplifying x + 2(x + 1) = 22 + x + 2 Reorder the terms: x + 2(1 + x) = 22 + x + 2 x + (1 * 2 + x * 2) = 22 + x + 2 x + (2 + 2x) = 22 + x + 2 Reorder the terms: 2 + x + 2x = 22 + x + 2 Combine like terms: x + 2x = 3x 2 + 3x = 22 + x + 2 Reorder the terms: 2 + 3x = 22 + 2 + x Combine like terms: 22 + 2 = 24 2 + 3x = 24 + x Solving 2 + 3x = 24 + 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 + 3x + -1x = 24 + x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = 24 + x + -1x Combine like terms: x + -1x = 0 2 + 2x = 24 + 0 2 + 2x = 24 Add '-2' to each side of the equation. 2 + -2 + 2x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 24 + -2 2x = 24 + -2 Combine like terms: 24 + -2 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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