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Simplifying x + (30 + x) + (-34 + 2x) = 484 Remove parenthesis around (30 + x) x + 30 + x + (-34 + 2x) = 484 Remove parenthesis around (-34 + 2x) x + 30 + x + -34 + 2x = 484 Reorder the terms: 30 + -34 + x + x + 2x = 484 Combine like terms: 30 + -34 = -4 -4 + x + x + 2x = 484 Combine like terms: x + x = 2x -4 + 2x + 2x = 484 Combine like terms: 2x + 2x = 4x -4 + 4x = 484 Solving -4 + 4x = 484 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 484 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 484 + 4 4x = 484 + 4 Combine like terms: 484 + 4 = 488 4x = 488 Divide each side by '4'. x = 122 Simplifying x = 122
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