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Simplifying 1.10x + 0.40(200 + -1x) = 0.54(200) 1.10x + (200 * 0.40 + -1x * 0.40) = 0.54(200) 1.10x + (80 + -0.4x) = 0.54(200) Reorder the terms: 80 + 1.10x + -0.4x = 0.54(200) Combine like terms: 1.10x + -0.4x = 0.7x 80 + 0.7x = 0.54(200) Multiply 0.54 * 200 80 + 0.7x = 108 Solving 80 + 0.7x = 108 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 + 0.7x = 108 + -80 Combine like terms: 80 + -80 = 0 0 + 0.7x = 108 + -80 0.7x = 108 + -80 Combine like terms: 108 + -80 = 28 0.7x = 28 Divide each side by '0.7'. x = 40 Simplifying x = 40
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