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Simplifying 0.10x + 0.25(x + 4) + 0.05 * 5(x + 4) = 3.20 Reorder the terms: 0.10x + 0.25(4 + x) + 0.05 * 5(x + 4) = 3.20 0.10x + (4 * 0.25 + x * 0.25) + 0.05 * 5(x + 4) = 3.20 0.10x + (1 + 0.25x) + 0.05 * 5(x + 4) = 3.20 Reorder the terms: 0.10x + 1 + 0.25x + 0.05 * 5(4 + x) = 3.20 Multiply 0.05 * 5 0.10x + 1 + 0.25x + 0.25(4 + x) = 3.20 0.10x + 1 + 0.25x + (4 * 0.25 + x * 0.25) = 3.20 0.10x + 1 + 0.25x + (1 + 0.25x) = 3.20 Reorder the terms: 1 + 1 + 0.10x + 0.25x + 0.25x = 3.20 Combine like terms: 1 + 1 = 2 2 + 0.10x + 0.25x + 0.25x = 3.20 Combine like terms: 0.10x + 0.25x = 0.35x 2 + 0.35x + 0.25x = 3.20 Combine like terms: 0.35x + 0.25x = 0.6x 2 + 0.6x = 3.20 Solving 2 + 0.6x = 3.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.6x = 3.20 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x = 3.20 + -2 0.6x = 3.20 + -2 Combine like terms: 3.20 + -2 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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