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Simplifying 0.4x + 0.6(20 + -1x) = 9.8 0.4x + (20 * 0.6 + -1x * 0.6) = 9.8 0.4x + (12 + -0.6x) = 9.8 Reorder the terms: 12 + 0.4x + -0.6x = 9.8 Combine like terms: 0.4x + -0.6x = -0.2x 12 + -0.2x = 9.8 Solving 12 + -0.2x = 9.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.2x = 9.8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.2x = 9.8 + -12 -0.2x = 9.8 + -12 Combine like terms: 9.8 + -12 = -2.2 -0.2x = -2.2 Divide each side by '-0.2'. x = 11 Simplifying x = 11
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