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Simplifying x + -75 + -47 + -36 + -47 + (x + 182) = 413 Reorder the terms: x + -75 + -47 + -36 + -47 + (182 + x) = 413 Remove parenthesis around (182 + x) x + -75 + -47 + -36 + -47 + 182 + x = 413 Reorder the terms: -75 + -47 + -36 + -47 + 182 + x + x = 413 Combine like terms: -75 + -47 = -122 -122 + -36 + -47 + 182 + x + x = 413 Combine like terms: -122 + -36 = -158 -158 + -47 + 182 + x + x = 413 Combine like terms: -158 + -47 = -205 -205 + 182 + x + x = 413 Combine like terms: -205 + 182 = -23 -23 + x + x = 413 Combine like terms: x + x = 2x -23 + 2x = 413 Solving -23 + 2x = 413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2x = 413 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 413 + 23 2x = 413 + 23 Combine like terms: 413 + 23 = 436 2x = 436 Divide each side by '2'. x = 218 Simplifying x = 218
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