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Simplifying 0.25x + 0.1(x + 3) + 0.05(2x) = 4.65 Reorder the terms: 0.25x + 0.1(3 + x) + 0.05(2x) = 4.65 0.25x + (3 * 0.1 + x * 0.1) + 0.05(2x) = 4.65 0.25x + (0.3 + 0.1x) + 0.05(2x) = 4.65 Remove parenthesis around (2x) 0.25x + 0.3 + 0.1x + 0.05 * 2x = 4.65 Multiply 0.05 * 2 0.25x + 0.3 + 0.1x + 0.1x = 4.65 Reorder the terms: 0.3 + 0.25x + 0.1x + 0.1x = 4.65 Combine like terms: 0.25x + 0.1x = 0.35x 0.3 + 0.35x + 0.1x = 4.65 Combine like terms: 0.35x + 0.1x = 0.45x 0.3 + 0.45x = 4.65 Solving 0.3 + 0.45x = 4.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.45x = 4.65 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.45x = 4.65 + -0.3 0.45x = 4.65 + -0.3 Combine like terms: 4.65 + -0.3 = 4.35 0.45x = 4.35 Divide each side by '0.45'. x = 9.666666667 Simplifying x = 9.666666667
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