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Simplifying (x + 6) + (x + -34) = 100 Reorder the terms: (6 + x) + (x + -34) = 100 Remove parenthesis around (6 + x) 6 + x + (x + -34) = 100 Reorder the terms: 6 + x + (-34 + x) = 100 Remove parenthesis around (-34 + x) 6 + x + -34 + x = 100 Reorder the terms: 6 + -34 + x + x = 100 Combine like terms: 6 + -34 = -28 -28 + x + x = 100 Combine like terms: x + x = 2x -28 + 2x = 100 Solving -28 + 2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 2x = 100 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 100 + 28 2x = 100 + 28 Combine like terms: 100 + 28 = 128 2x = 128 Divide each side by '2'. x = 64 Simplifying x = 64
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