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Simplifying 0.25x + 0.10(2x) + 0.05(x + 2) = 7.60 Remove parenthesis around (2x) 0.25x + 0.10 * 2x + 0.05(x + 2) = 7.60 Multiply 0.10 * 2 0.25x + 0.2x + 0.05(x + 2) = 7.60 Reorder the terms: 0.25x + 0.2x + 0.05(2 + x) = 7.60 0.25x + 0.2x + (2 * 0.05 + x * 0.05) = 7.60 0.25x + 0.2x + (0.1 + 0.05x) = 7.60 Reorder the terms: 0.1 + 0.25x + 0.2x + 0.05x = 7.60 Combine like terms: 0.25x + 0.2x = 0.45x 0.1 + 0.45x + 0.05x = 7.60 Combine like terms: 0.45x + 0.05x = 0.5x 0.1 + 0.5x = 7.60 Solving 0.1 + 0.5x = 7.60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.5x = 7.60 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.5x = 7.60 + -0.1 0.5x = 7.60 + -0.1 Combine like terms: 7.60 + -0.1 = 7.5 0.5x = 7.5 Divide each side by '0.5'. x = 15 Simplifying x = 15
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