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Simplifying 0.1(x + 20) + 0.3x = 6 Reorder the terms: 0.1(20 + x) + 0.3x = 6 (20 * 0.1 + x * 0.1) + 0.3x = 6 (2 + 0.1x) + 0.3x = 6 Combine like terms: 0.1x + 0.3x = 0.4x 2 + 0.4x = 6 Solving 2 + 0.4x = 6 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 + 0.4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.4x = 6 + -2 0.4x = 6 + -2 Combine like terms: 6 + -2 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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