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Simplifying (6x + 32) + (17x + -1) = 100 Reorder the terms: (32 + 6x) + (17x + -1) = 100 Remove parenthesis around (32 + 6x) 32 + 6x + (17x + -1) = 100 Reorder the terms: 32 + 6x + (-1 + 17x) = 100 Remove parenthesis around (-1 + 17x) 32 + 6x + -1 + 17x = 100 Reorder the terms: 32 + -1 + 6x + 17x = 100 Combine like terms: 32 + -1 = 31 31 + 6x + 17x = 100 Combine like terms: 6x + 17x = 23x 31 + 23x = 100 Solving 31 + 23x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 23x = 100 + -31 Combine like terms: 31 + -31 = 0 0 + 23x = 100 + -31 23x = 100 + -31 Combine like terms: 100 + -31 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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