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Simplifying (x + -29) + x + (x + 24) = 100 Reorder the terms: (-29 + x) + x + (x + 24) = 100 Remove parenthesis around (-29 + x) -29 + x + x + (x + 24) = 100 Reorder the terms: -29 + x + x + (24 + x) = 100 Remove parenthesis around (24 + x) -29 + x + x + 24 + x = 100 Reorder the terms: -29 + 24 + x + x + x = 100 Combine like terms: -29 + 24 = -5 -5 + x + x + x = 100 Combine like terms: x + x = 2x -5 + 2x + x = 100 Combine like terms: 2x + x = 3x -5 + 3x = 100 Solving -5 + 3x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 100 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 100 + 5 3x = 100 + 5 Combine like terms: 100 + 5 = 105 3x = 105 Divide each side by '3'. x = 35 Simplifying x = 35
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