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Simplifying 0.06(x * 30) + 0.27(x + 10) = 10.8 Reorder the terms for easier multiplication: 0.06(30x) + 0.27(x + 10) = 10.8 Remove parenthesis around (30x) 0.06 * 30x + 0.27(x + 10) = 10.8 Multiply 0.06 * 30 1.8x + 0.27(x + 10) = 10.8 Reorder the terms: 1.8x + 0.27(10 + x) = 10.8 1.8x + (10 * 0.27 + x * 0.27) = 10.8 1.8x + (2.7 + 0.27x) = 10.8 Reorder the terms: 2.7 + 1.8x + 0.27x = 10.8 Combine like terms: 1.8x + 0.27x = 2.07x 2.7 + 2.07x = 10.8 Solving 2.7 + 2.07x = 10.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + 2.07x = 10.8 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 2.07x = 10.8 + -2.7 2.07x = 10.8 + -2.7 Combine like terms: 10.8 + -2.7 = 8.1 2.07x = 8.1 Divide each side by '2.07'. x = 3.913043478 Simplifying x = 3.913043478
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