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Simplifying 23(x + 1) + 21x = 100 Reorder the terms: 23(1 + x) + 21x = 100 (1 * 23 + x * 23) + 21x = 100 (23 + 23x) + 21x = 100 Combine like terms: 23x + 21x = 44x 23 + 44x = 100 Solving 23 + 44x = 100 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 + 44x = 100 + -23 Combine like terms: 23 + -23 = 0 0 + 44x = 100 + -23 44x = 100 + -23 Combine like terms: 100 + -23 = 77 44x = 77 Divide each side by '44'. x = 1.75 Simplifying x = 1.75
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