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Simplifying 11 = 0.8(11 + x + -0.45) Reorder the terms: 11 = 0.8(11 + -0.45 + x) Combine like terms: 11 + -0.45 = 10.55 11 = 0.8(10.55 + x) 11 = (10.55 * 0.8 + x * 0.8) 11 = (8.44 + 0.8x) Solving 11 = 8.44 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 11 + -0.8x = 8.44 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 11 + -0.8x = 8.44 + 0.0 11 + -0.8x = 8.44 Add '-11' to each side of the equation. 11 + -11 + -0.8x = 8.44 + -11 Combine like terms: 11 + -11 = 0 0 + -0.8x = 8.44 + -11 -0.8x = 8.44 + -11 Combine like terms: 8.44 + -11 = -2.56 -0.8x = -2.56 Divide each side by '-0.8'. x = 3.2 Simplifying x = 3.2
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