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Simplifying 0.4x + 0.1(30 + -1x) = 6 0.4x + (30 * 0.1 + -1x * 0.1) = 6 0.4x + (3 + -0.1x) = 6 Reorder the terms: 3 + 0.4x + -0.1x = 6 Combine like terms: 0.4x + -0.1x = 0.3x 3 + 0.3x = 6 Solving 3 + 0.3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.3x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3x = 6 + -3 0.3x = 6 + -3 Combine like terms: 6 + -3 = 3 0.3x = 3 Divide each side by '0.3'. x = 10 Simplifying x = 10
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