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Simplifying 0.10x + 0.25(x + 6) + 0.05 * 4(x + 6) = 3.80 Reorder the terms: 0.10x + 0.25(6 + x) + 0.05 * 4(x + 6) = 3.80 0.10x + (6 * 0.25 + x * 0.25) + 0.05 * 4(x + 6) = 3.80 0.10x + (1.5 + 0.25x) + 0.05 * 4(x + 6) = 3.80 Reorder the terms: 0.10x + 1.5 + 0.25x + 0.05 * 4(6 + x) = 3.80 Multiply 0.05 * 4 0.10x + 1.5 + 0.25x + 0.2(6 + x) = 3.80 0.10x + 1.5 + 0.25x + (6 * 0.2 + x * 0.2) = 3.80 0.10x + 1.5 + 0.25x + (1.2 + 0.2x) = 3.80 Reorder the terms: 1.5 + 1.2 + 0.10x + 0.25x + 0.2x = 3.80 Combine like terms: 1.5 + 1.2 = 2.7 2.7 + 0.10x + 0.25x + 0.2x = 3.80 Combine like terms: 0.10x + 0.25x = 0.35x 2.7 + 0.35x + 0.2x = 3.80 Combine like terms: 0.35x + 0.2x = 0.55x 2.7 + 0.55x = 3.80 Solving 2.7 + 0.55x = 3.80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.55x = 3.80 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.55x = 3.80 + -2.7 0.55x = 3.80 + -2.7 Combine like terms: 3.80 + -2.7 = 1.1 0.55x = 1.1 Divide each side by '0.55'. x = 2 Simplifying x = 2
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