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Simplifying (x + x + 1) = (x + 2 + x + 3 + x + 4) + -43 Reorder the terms: (1 + x + x) = (x + 2 + x + 3 + x + 4) + -43 Combine like terms: x + x = 2x (1 + 2x) = (x + 2 + x + 3 + x + 4) + -43 Remove parenthesis around (1 + 2x) 1 + 2x = (x + 2 + x + 3 + x + 4) + -43 Reorder the terms: 1 + 2x = (2 + 3 + 4 + x + x + x) + -43 Combine like terms: 2 + 3 = 5 1 + 2x = (5 + 4 + x + x + x) + -43 Combine like terms: 5 + 4 = 9 1 + 2x = (9 + x + x + x) + -43 Combine like terms: x + x = 2x 1 + 2x = (9 + 2x + x) + -43 Combine like terms: 2x + x = 3x 1 + 2x = (9 + 3x) + -43 Remove parenthesis around (9 + 3x) 1 + 2x = 9 + 3x + -43 Reorder the terms: 1 + 2x = 9 + -43 + 3x Combine like terms: 9 + -43 = -34 1 + 2x = -34 + 3x Solving 1 + 2x = -34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 2x + -3x = -34 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = -34 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = -34 + 0 1 + -1x = -34 Add '-1' to each side of the equation. 1 + -1 + -1x = -34 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -34 + -1 -1x = -34 + -1 Combine like terms: -34 + -1 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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