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Simplifying 17x = 13(x + 0.5) Reorder the terms: 17x = 13(0.5 + x) 17x = (0.5 * 13 + x * 13) 17x = (6.5 + 13x) Solving 17x = 6.5 + 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 = 6.5 + 13x + -13x Combine like terms: 17x + -13x = 4x 4x = 6.5 + 13x + -13x Combine like terms: 13x + -13x = 0 4x = 6.5 + 0 4x = 6.5 Divide each side by '4'. x = 1.625 Simplifying x = 1.625
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