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Simplifying 102 = 80 + 0.55(1 + -1x)(22) Reorder the terms for easier multiplication: 102 = 80 + 0.55 * 22(1 + -1x) Multiply 0.55 * 22 102 = 80 + 12.1(1 + -1x) 102 = 80 + (1 * 12.1 + -1x * 12.1) 102 = 80 + (12.1 + -12.1x) Combine like terms: 80 + 12.1 = 92.1 102 = 92.1 + -12.1x Solving 102 = 92.1 + -12.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.1x' to each side of the equation. 102 + 12.1x = 92.1 + -12.1x + 12.1x Combine like terms: -12.1x + 12.1x = 0.0 102 + 12.1x = 92.1 + 0.0 102 + 12.1x = 92.1 Add '-102' to each side of the equation. 102 + -102 + 12.1x = 92.1 + -102 Combine like terms: 102 + -102 = 0 0 + 12.1x = 92.1 + -102 12.1x = 92.1 + -102 Combine like terms: 92.1 + -102 = -9.9 12.1x = -9.9 Divide each side by '12.1'. x = -0.8181818182 Simplifying x = -0.8181818182
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