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Simplifying 0.60x + 0.85(-1x + 110) = 77 Reorder the terms: 0.60x + 0.85(110 + -1x) = 77 0.60x + (110 * 0.85 + -1x * 0.85) = 77 0.60x + (93.5 + -0.85x) = 77 Reorder the terms: 93.5 + 0.60x + -0.85x = 77 Combine like terms: 0.60x + -0.85x = -0.25x 93.5 + -0.25x = 77 Solving 93.5 + -0.25x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93.5' to each side of the equation. 93.5 + -93.5 + -0.25x = 77 + -93.5 Combine like terms: 93.5 + -93.5 = 0.0 0.0 + -0.25x = 77 + -93.5 -0.25x = 77 + -93.5 Combine like terms: 77 + -93.5 = -16.5 -0.25x = -16.5 Divide each side by '-0.25'. x = 66 Simplifying x = 66
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