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Simplifying x + (8x + -17) + (40x + -85) = 2005 Reorder the terms: x + (-17 + 8x) + (40x + -85) = 2005 Remove parenthesis around (-17 + 8x) x + -17 + 8x + (40x + -85) = 2005 Reorder the terms: x + -17 + 8x + (-85 + 40x) = 2005 Remove parenthesis around (-85 + 40x) x + -17 + 8x + -85 + 40x = 2005 Reorder the terms: -17 + -85 + x + 8x + 40x = 2005 Combine like terms: -17 + -85 = -102 -102 + x + 8x + 40x = 2005 Combine like terms: x + 8x = 9x -102 + 9x + 40x = 2005 Combine like terms: 9x + 40x = 49x -102 + 49x = 2005 Solving -102 + 49x = 2005 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 49x = 2005 + 102 Combine like terms: -102 + 102 = 0 0 + 49x = 2005 + 102 49x = 2005 + 102 Combine like terms: 2005 + 102 = 2107 49x = 2107 Divide each side by '49'. x = 43 Simplifying x = 43
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