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Simplifying 0.13(x + 50.00) = 117 Reorder the terms: 0.13(50.00 + x) = 117 (50.00 * 0.13 + x * 0.13) = 117 (6.5 + 0.13x) = 117 Solving 6.5 + 0.13x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 0.13x = 117 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.13x = 117 + -6.5 0.13x = 117 + -6.5 Combine like terms: 117 + -6.5 = 110.5 0.13x = 110.5 Divide each side by '0.13'. x = 850 Simplifying x = 850
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