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Simplifying 0.01(3x) + 0.15(x + 8) + 0.20x = 5.00 Remove parenthesis around (3x) 0.01 * 3x + 0.15(x + 8) + 0.20x = 5.00 Multiply 0.01 * 3 0.03x + 0.15(x + 8) + 0.20x = 5.00 Reorder the terms: 0.03x + 0.15(8 + x) + 0.20x = 5.00 0.03x + (8 * 0.15 + x * 0.15) + 0.20x = 5.00 0.03x + (1.2 + 0.15x) + 0.20x = 5.00 Reorder the terms: 1.2 + 0.03x + 0.15x + 0.20x = 5.00 Combine like terms: 0.03x + 0.15x = 0.18x 1.2 + 0.18x + 0.20x = 5.00 Combine like terms: 0.18x + 0.20x = 0.38x 1.2 + 0.38x = 5.00 Solving 1.2 + 0.38x = 5.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.38x = 5.00 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.38x = 5.00 + -1.2 0.38x = 5.00 + -1.2 Combine like terms: 5.00 + -1.2 = 3.8 0.38x = 3.8 Divide each side by '0.38'. x = 10 Simplifying x = 10
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