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Simplifying x + (x + -42) = 106 Reorder the terms: x + (-42 + x) = 106 Remove parenthesis around (-42 + x) x + -42 + x = 106 Reorder the terms: -42 + x + x = 106 Combine like terms: x + x = 2x -42 + 2x = 106 Solving -42 + 2x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 2x = 106 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 106 + 42 2x = 106 + 42 Combine like terms: 106 + 42 = 148 2x = 148 Divide each side by '2'. x = 74 Simplifying x = 74
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