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Simplifying 0.50x + 0.20(0.9 + -1x) = 4.20 0.50x + (0.9 * 0.20 + -1x * 0.20) = 4.20 0.50x + (0.18 + -0.2x) = 4.20 Reorder the terms: 0.18 + 0.50x + -0.2x = 4.20 Combine like terms: 0.50x + -0.2x = 0.3x 0.18 + 0.3x = 4.20 Solving 0.18 + 0.3x = 4.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.3x = 4.20 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.3x = 4.20 + -0.18 0.3x = 4.20 + -0.18 Combine like terms: 4.20 + -0.18 = 4.02 0.3x = 4.02 Divide each side by '0.3'. x = 13.4 Simplifying x = 13.4
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