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Simplifying 0.4x + 0.3(20 + -1x) = 0.1 + 6 0.4x + (20 * 0.3 + -1x * 0.3) = 0.1 + 6 0.4x + (6 + -0.3x) = 0.1 + 6 Reorder the terms: 6 + 0.4x + -0.3x = 0.1 + 6 Combine like terms: 0.4x + -0.3x = 0.1x 6 + 0.1x = 0.1 + 6 Combine like terms: 0.1 + 6 = 6.1 6 + 0.1x = 6.1 Solving 6 + 0.1x = 6.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.1x = 6.1 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 6.1 + -6 0.1x = 6.1 + -6 Combine like terms: 6.1 + -6 = 0.1 0.1x = 0.1 Divide each side by '0.1'. x = 1 Simplifying x = 1
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