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Simplifying 0.10x + 0.25(x + 4) + 0.05(2)(x + 4) = 5.90 Reorder the terms: 0.10x + 0.25(4 + x) + 0.05(2)(x + 4) = 5.90 0.10x + (4 * 0.25 + x * 0.25) + 0.05(2)(x + 4) = 5.90 0.10x + (1 + 0.25x) + 0.05(2)(x + 4) = 5.90 Reorder the terms: 0.10x + 1 + 0.25x + 0.05 * 2(4 + x) = 5.90 Multiply 0.05 * 2 0.10x + 1 + 0.25x + 0.1(4 + x) = 5.90 0.10x + 1 + 0.25x + (4 * 0.1 + x * 0.1) = 5.90 0.10x + 1 + 0.25x + (0.4 + 0.1x) = 5.90 Reorder the terms: 1 + 0.4 + 0.10x + 0.25x + 0.1x = 5.90 Combine like terms: 1 + 0.4 = 1.4 1.4 + 0.10x + 0.25x + 0.1x = 5.90 Combine like terms: 0.10x + 0.25x = 0.35x 1.4 + 0.35x + 0.1x = 5.90 Combine like terms: 0.35x + 0.1x = 0.45x 1.4 + 0.45x = 5.90 Solving 1.4 + 0.45x = 5.90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.45x = 5.90 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.45x = 5.90 + -1.4 0.45x = 5.90 + -1.4 Combine like terms: 5.90 + -1.4 = 4.5 0.45x = 4.5 Divide each side by '0.45'. x = 10 Simplifying x = 10
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