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Simplifying 0.27(25 + x) = 0.3(x) + 0.2(25) (25 * 0.27 + x * 0.27) = 0.3(x) + 0.2(25) (6.75 + 0.27x) = 0.3(x) + 0.2(25) Multiply 0.2 * 25 6.75 + 0.27x = 0.3x + 5 Reorder the terms: 6.75 + 0.27x = 5 + 0.3x Solving 6.75 + 0.27x = 5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 6.75 + 0.27x + -0.3x = 5 + 0.3x + -0.3x Combine like terms: 0.27x + -0.3x = -0.03x 6.75 + -0.03x = 5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 6.75 + -0.03x = 5 + 0.0 6.75 + -0.03x = 5 Add '-6.75' to each side of the equation. 6.75 + -6.75 + -0.03x = 5 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -0.03x = 5 + -6.75 -0.03x = 5 + -6.75 Combine like terms: 5 + -6.75 = -1.75 -0.03x = -1.75 Divide each side by '-0.03'. x = 58.33333333 Simplifying x = 58.33333333
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