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Simplifying 0.30x + 25(0.20) = 0.27(x + 25) Multiply 25 * 0.20 0.30x + 5 = 0.27(x + 25) Reorder the terms: 5 + 0.30x = 0.27(x + 25) Reorder the terms: 5 + 0.30x = 0.27(25 + x) 5 + 0.30x = (25 * 0.27 + x * 0.27) 5 + 0.30x = (6.75 + 0.27x) Solving 5 + 0.30x = 6.75 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. 5 + 0.30x + -0.27x = 6.75 + 0.27x + -0.27x Combine like terms: 0.30x + -0.27x = 0.03x 5 + 0.03x = 6.75 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 5 + 0.03x = 6.75 + 0.00 5 + 0.03x = 6.75 Add '-5' to each side of the equation. 5 + -5 + 0.03x = 6.75 + -5 Combine like terms: 5 + -5 = 0 0 + 0.03x = 6.75 + -5 0.03x = 6.75 + -5 Combine like terms: 6.75 + -5 = 1.75 0.03x = 1.75 Divide each side by '0.03'. x = 58.33333333 Simplifying x = 58.33333333
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