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Simplifying x + 1(x + 1) = (x + 2) + 34 Reorder the terms: x + 1(1 + x) = (x + 2) + 34 x + (1 * 1 + x * 1) = (x + 2) + 34 x + (1 + 1x) = (x + 2) + 34 Reorder the terms: 1 + x + 1x = (x + 2) + 34 Combine like terms: x + 1x = 2x 1 + 2x = (x + 2) + 34 Reorder the terms: 1 + 2x = (2 + x) + 34 Remove parenthesis around (2 + x) 1 + 2x = 2 + x + 34 Reorder the terms: 1 + 2x = 2 + 34 + x Combine like terms: 2 + 34 = 36 1 + 2x = 36 + x Solving 1 + 2x = 36 + 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 + 2x + -1x = 36 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 36 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = 36 + 0 1 + 1x = 36 Add '-1' to each side of the equation. 1 + -1 + 1x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 36 + -1 1x = 36 + -1 Combine like terms: 36 + -1 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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