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Simplifying 0.25x + 0.05(2x) + 0.10(2x + 3) = 3.05 Remove parenthesis around (2x) 0.25x + 0.05 * 2x + 0.10(2x + 3) = 3.05 Multiply 0.05 * 2 0.25x + 0.1x + 0.10(2x + 3) = 3.05 Reorder the terms: 0.25x + 0.1x + 0.10(3 + 2x) = 3.05 0.25x + 0.1x + (3 * 0.10 + 2x * 0.10) = 3.05 0.25x + 0.1x + (0.3 + 0.2x) = 3.05 Reorder the terms: 0.3 + 0.25x + 0.1x + 0.2x = 3.05 Combine like terms: 0.25x + 0.1x = 0.35x 0.3 + 0.35x + 0.2x = 3.05 Combine like terms: 0.35x + 0.2x = 0.55x 0.3 + 0.55x = 3.05 Solving 0.3 + 0.55x = 3.05 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 + 0.55x = 3.05 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.55x = 3.05 + -0.3 0.55x = 3.05 + -0.3 Combine like terms: 3.05 + -0.3 = 2.75 0.55x = 2.75 Divide each side by '0.55'. x = 5 Simplifying x = 5
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