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Simplifying 17x = 13(x + 30) Reorder the terms: 17x = 13(30 + x) 17x = (30 * 13 + x * 13) 17x = (390 + 13x) Solving 17x = 390 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17x + -13x = 390 + 13x + -13x Combine like terms: 17x + -13x = 4x 4x = 390 + 13x + -13x Combine like terms: 13x + -13x = 0 4x = 390 + 0 4x = 390 Divide each side by '4'. x = 97.5 Simplifying x = 97.5
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