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Simplifying x + (x + -1) + (x + -2) + 3 + 2 + 1 = 105 Reorder the terms: x + (-1 + x) + (x + -2) + 3 + 2 + 1 = 105 Remove parenthesis around (-1 + x) x + -1 + x + (x + -2) + 3 + 2 + 1 = 105 Reorder the terms: x + -1 + x + (-2 + x) + 3 + 2 + 1 = 105 Remove parenthesis around (-2 + x) x + -1 + x + -2 + x + 3 + 2 + 1 = 105 Reorder the terms: -1 + -2 + 3 + 2 + 1 + x + x + x = 105 Combine like terms: -1 + -2 = -3 -3 + 3 + 2 + 1 + x + x + x = 105 Combine like terms: -3 + 3 = 0 0 + 2 + 1 + x + x + x = 105 2 + 1 + x + x + x = 105 Combine like terms: 2 + 1 = 3 3 + x + x + x = 105 Combine like terms: x + x = 2x 3 + 2x + x = 105 Combine like terms: 2x + x = 3x 3 + 3x = 105 Solving 3 + 3x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 105 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 105 + -3 3x = 105 + -3 Combine like terms: 105 + -3 = 102 3x = 102 Divide each side by '3'. x = 34 Simplifying x = 34
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