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Simplifying 3x + 500 + 1000x + 100(30 + 3x) = 17000 3x + 500 + 1000x + (30 * 100 + 3x * 100) = 17000 3x + 500 + 1000x + (3000 + 300x) = 17000 Reorder the terms: 500 + 3000 + 3x + 1000x + 300x = 17000 Combine like terms: 500 + 3000 = 3500 3500 + 3x + 1000x + 300x = 17000 Combine like terms: 3x + 1000x = 1003x 3500 + 1003x + 300x = 17000 Combine like terms: 1003x + 300x = 1303x 3500 + 1303x = 17000 Solving 3500 + 1303x = 17000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3500' to each side of the equation. 3500 + -3500 + 1303x = 17000 + -3500 Combine like terms: 3500 + -3500 = 0 0 + 1303x = 17000 + -3500 1303x = 17000 + -3500 Combine like terms: 17000 + -3500 = 13500 1303x = 13500 Divide each side by '1303'. x = 10.36070606 Simplifying x = 10.36070606
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