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Simplifying 2x + 2(x + 22) = 2004 Reorder the terms: 2x + 2(22 + x) = 2004 2x + (22 * 2 + x * 2) = 2004 2x + (44 + 2x) = 2004 Reorder the terms: 44 + 2x + 2x = 2004 Combine like terms: 2x + 2x = 4x 44 + 4x = 2004 Solving 44 + 4x = 2004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 4x = 2004 + -44 Combine like terms: 44 + -44 = 0 0 + 4x = 2004 + -44 4x = 2004 + -44 Combine like terms: 2004 + -44 = 1960 4x = 1960 Divide each side by '4'. x = 490 Simplifying x = 490
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