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Simplifying 2x + (x + 1) = (12 + x) + -1 Reorder the terms: 2x + (1 + x) = (12 + x) + -1 Remove parenthesis around (1 + x) 2x + 1 + x = (12 + x) + -1 Reorder the terms: 1 + 2x + x = (12 + x) + -1 Combine like terms: 2x + x = 3x 1 + 3x = (12 + x) + -1 Remove parenthesis around (12 + x) 1 + 3x = 12 + x + -1 Reorder the terms: 1 + 3x = 12 + -1 + x Combine like terms: 12 + -1 = 11 1 + 3x = 11 + x Solving 1 + 3x = 11 + 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. 1 + 3x + -1x = 11 + x + -1x Combine like terms: 3x + -1x = 2x 1 + 2x = 11 + x + -1x Combine like terms: x + -1x = 0 1 + 2x = 11 + 0 1 + 2x = 11 Add '-1' to each side of the equation. 1 + -1 + 2x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 11 + -1 2x = 11 + -1 Combine like terms: 11 + -1 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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