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Simplifying 0.10x + 0.25(x + 10) + 0.05 * 3(x + 10) = 5.50 Reorder the terms: 0.10x + 0.25(10 + x) + 0.05 * 3(x + 10) = 5.50 0.10x + (10 * 0.25 + x * 0.25) + 0.05 * 3(x + 10) = 5.50 0.10x + (2.5 + 0.25x) + 0.05 * 3(x + 10) = 5.50 Reorder the terms: 0.10x + 2.5 + 0.25x + 0.05 * 3(10 + x) = 5.50 Multiply 0.05 * 3 0.10x + 2.5 + 0.25x + 0.15(10 + x) = 5.50 0.10x + 2.5 + 0.25x + (10 * 0.15 + x * 0.15) = 5.50 0.10x + 2.5 + 0.25x + (1.5 + 0.15x) = 5.50 Reorder the terms: 2.5 + 1.5 + 0.10x + 0.25x + 0.15x = 5.50 Combine like terms: 2.5 + 1.5 = 4 4 + 0.10x + 0.25x + 0.15x = 5.50 Combine like terms: 0.10x + 0.25x = 0.35x 4 + 0.35x + 0.15x = 5.50 Combine like terms: 0.35x + 0.15x = 0.5x 4 + 0.5x = 5.50 Solving 4 + 0.5x = 5.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.5x = 5.50 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 5.50 + -4 0.5x = 5.50 + -4 Combine like terms: 5.50 + -4 = 1.5 0.5x = 1.5 Divide each side by '0.5'. x = 3 Simplifying x = 3
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