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Simplifying 0.9x + 0.1(40 + -1x) = 80 0.9x + (40 * 0.1 + -1x * 0.1) = 80 0.9x + (4 + -0.1x) = 80 Reorder the terms: 4 + 0.9x + -0.1x = 80 Combine like terms: 0.9x + -0.1x = 0.8x 4 + 0.8x = 80 Solving 4 + 0.8x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.8x = 80 + -4 Combine like terms: 4 + -4 = 0 0 + 0.8x = 80 + -4 0.8x = 80 + -4 Combine like terms: 80 + -4 = 76 0.8x = 76 Divide each side by '0.8'. x = 95 Simplifying x = 95
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