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Simplifying 0.10x + 0.25(x + 3) + (0.05) * 4(x + 3) = 2.45 Reorder the terms: 0.10x + 0.25(3 + x) + (0.05) * 4(x + 3) = 2.45 0.10x + (3 * 0.25 + x * 0.25) + (0.05) * 4(x + 3) = 2.45 0.10x + (0.75 + 0.25x) + (0.05) * 4(x + 3) = 2.45 Reorder the terms: 0.10x + 0.75 + 0.25x + 0.05 * 4(3 + x) = 2.45 Multiply 0.05 * 4 0.10x + 0.75 + 0.25x + 0.2(3 + x) = 2.45 0.10x + 0.75 + 0.25x + (3 * 0.2 + x * 0.2) = 2.45 0.10x + 0.75 + 0.25x + (0.6 + 0.2x) = 2.45 Reorder the terms: 0.75 + 0.6 + 0.10x + 0.25x + 0.2x = 2.45 Combine like terms: 0.75 + 0.6 = 1.35 1.35 + 0.10x + 0.25x + 0.2x = 2.45 Combine like terms: 0.10x + 0.25x = 0.35x 1.35 + 0.35x + 0.2x = 2.45 Combine like terms: 0.35x + 0.2x = 0.55x 1.35 + 0.55x = 2.45 Solving 1.35 + 0.55x = 2.45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + 0.55x = 2.45 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + 0.55x = 2.45 + -1.35 0.55x = 2.45 + -1.35 Combine like terms: 2.45 + -1.35 = 1.1 0.55x = 1.1 Divide each side by '0.55'. x = 2 Simplifying x = 2
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