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Simplifying 1.00x + 0.80(100 + -1x) = 110 1.00x + (100 * 0.80 + -1x * 0.80) = 110 1.00x + (80 + -0.8x) = 110 Reorder the terms: 80 + 1.00x + -0.8x = 110 Combine like terms: 1.00x + -0.8x = 0.2x 80 + 0.2x = 110 Solving 80 + 0.2x = 110 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 0.2x = 110 + -80 Combine like terms: 80 + -80 = 0 0 + 0.2x = 110 + -80 0.2x = 110 + -80 Combine like terms: 110 + -80 = 30 0.2x = 30 Divide each side by '0.2'. x = 150 Simplifying x = 150
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