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Simplifying x + (x + 1) + (x + 2) + (x + 3) = 106 Reorder the terms: x + (1 + x) + (x + 2) + (x + 3) = 106 Remove parenthesis around (1 + x) x + 1 + x + (x + 2) + (x + 3) = 106 Reorder the terms: x + 1 + x + (2 + x) + (x + 3) = 106 Remove parenthesis around (2 + x) x + 1 + x + 2 + x + (x + 3) = 106 Reorder the terms: x + 1 + x + 2 + x + (3 + x) = 106 Remove parenthesis around (3 + x) x + 1 + x + 2 + x + 3 + x = 106 Reorder the terms: 1 + 2 + 3 + x + x + x + x = 106 Combine like terms: 1 + 2 = 3 3 + 3 + x + x + x + x = 106 Combine like terms: 3 + 3 = 6 6 + x + x + x + x = 106 Combine like terms: x + x = 2x 6 + 2x + x + x = 106 Combine like terms: 2x + x = 3x 6 + 3x + x = 106 Combine like terms: 3x + x = 4x 6 + 4x = 106 Solving 6 + 4x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 106 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 106 + -6 4x = 106 + -6 Combine like terms: 106 + -6 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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