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Simplifying 24.96 = 0.13(x + 50) Reorder the terms: 24.96 = 0.13(50 + x) 24.96 = (50 * 0.13 + x * 0.13) 24.96 = (6.5 + 0.13x) Solving 24.96 = 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. 24.96 + -0.13x = 6.5 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 24.96 + -0.13x = 6.5 + 0.00 24.96 + -0.13x = 6.5 Add '-24.96' to each side of the equation. 24.96 + -24.96 + -0.13x = 6.5 + -24.96 Combine like terms: 24.96 + -24.96 = 0.00 0.00 + -0.13x = 6.5 + -24.96 -0.13x = 6.5 + -24.96 Combine like terms: 6.5 + -24.96 = -18.46 -0.13x = -18.46 Divide each side by '-0.13'. x = 142 Simplifying x = 142
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