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Simplifying 0.50x + 0.90(30 + -1x) = 0.80 0.50x + (30 * 0.90 + -1x * 0.90) = 0.80 0.50x + (27 + -0.9x) = 0.80 Reorder the terms: 27 + 0.50x + -0.9x = 0.80 Combine like terms: 0.50x + -0.9x = -0.4x 27 + -0.4x = 0.80 Solving 27 + -0.4x = 0.80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -0.4x = 0.80 + -27 Combine like terms: 27 + -27 = 0 0 + -0.4x = 0.80 + -27 -0.4x = 0.80 + -27 Combine like terms: 0.80 + -27 = -26.2 -0.4x = -26.2 Divide each side by '-0.4'. x = 65.5 Simplifying x = 65.5
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