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Simplifying 30 = 0.13(x + 50) Reorder the terms: 30 = 0.13(50 + x) 30 = (50 * 0.13 + x * 0.13) 30 = (6.5 + 0.13x) Solving 30 = 6.5 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 30 + -0.13x = 6.5 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 30 + -0.13x = 6.5 + 0.00 30 + -0.13x = 6.5 Add '-30' to each side of the equation. 30 + -30 + -0.13x = 6.5 + -30 Combine like terms: 30 + -30 = 0 0 + -0.13x = 6.5 + -30 -0.13x = 6.5 + -30 Combine like terms: 6.5 + -30 = -23.5 -0.13x = -23.5 Divide each side by '-0.13'. x = 180.7692308 Simplifying x = 180.7692308
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