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Simplifying 0.35x + 0.85(110 + -1x) = 0.80(110) 0.35x + (110 * 0.85 + -1x * 0.85) = 0.80(110) 0.35x + (93.5 + -0.85x) = 0.80(110) Reorder the terms: 93.5 + 0.35x + -0.85x = 0.80(110) Combine like terms: 0.35x + -0.85x = -0.5x 93.5 + -0.5x = 0.80(110) Multiply 0.80 * 110 93.5 + -0.5x = 88 Solving 93.5 + -0.5x = 88 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 + -0.5x = 88 + -93.5 Combine like terms: 93.5 + -93.5 = 0.0 0.0 + -0.5x = 88 + -93.5 -0.5x = 88 + -93.5 Combine like terms: 88 + -93.5 = -5.5 -0.5x = -5.5 Divide each side by '-0.5'. x = 11 Simplifying x = 11
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