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Simplifying x + (14 + x) + (-16 + 2x) = 406 Remove parenthesis around (14 + x) x + 14 + x + (-16 + 2x) = 406 Remove parenthesis around (-16 + 2x) x + 14 + x + -16 + 2x = 406 Reorder the terms: 14 + -16 + x + x + 2x = 406 Combine like terms: 14 + -16 = -2 -2 + x + x + 2x = 406 Combine like terms: x + x = 2x -2 + 2x + 2x = 406 Combine like terms: 2x + 2x = 4x -2 + 4x = 406 Solving -2 + 4x = 406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 406 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 406 + 2 4x = 406 + 2 Combine like terms: 406 + 2 = 408 4x = 408 Divide each side by '4'. x = 102 Simplifying x = 102
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