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Simplifying 0.05(x + 6) + 0.01(25x) + 0.1x + 0.25(x + -2) = 3.20 Reorder the terms: 0.05(6 + x) + 0.01(25x) + 0.1x + 0.25(x + -2) = 3.20 (6 * 0.05 + x * 0.05) + 0.01(25x) + 0.1x + 0.25(x + -2) = 3.20 (0.3 + 0.05x) + 0.01(25x) + 0.1x + 0.25(x + -2) = 3.20 Remove parenthesis around (25x) 0.3 + 0.05x + 0.01 * 25x + 0.1x + 0.25(x + -2) = 3.20 Multiply 0.01 * 25 0.3 + 0.05x + 0.25x + 0.1x + 0.25(x + -2) = 3.20 Reorder the terms: 0.3 + 0.05x + 0.25x + 0.1x + 0.25(-2 + x) = 3.20 0.3 + 0.05x + 0.25x + 0.1x + (-2 * 0.25 + x * 0.25) = 3.20 0.3 + 0.05x + 0.25x + 0.1x + (-0.5 + 0.25x) = 3.20 Reorder the terms: 0.3 + -0.5 + 0.05x + 0.25x + 0.1x + 0.25x = 3.20 Combine like terms: 0.3 + -0.5 = -0.2 -0.2 + 0.05x + 0.25x + 0.1x + 0.25x = 3.20 Combine like terms: 0.05x + 0.25x = 0.3x -0.2 + 0.3x + 0.1x + 0.25x = 3.20 Combine like terms: 0.3x + 0.1x = 0.4x -0.2 + 0.4x + 0.25x = 3.20 Combine like terms: 0.4x + 0.25x = 0.65x -0.2 + 0.65x = 3.20 Solving -0.2 + 0.65x = 3.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.65x = 3.20 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.65x = 3.20 + 0.2 0.65x = 3.20 + 0.2 Combine like terms: 3.20 + 0.2 = 3.4 0.65x = 3.4 Divide each side by '0.65'. x = 5.230769231 Simplifying x = 5.230769231
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