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Simplifying (x + 6) * 0.9 + 1 = 181 Reorder the terms: (6 + x) * 0.9 + 1 = 181 Reorder the terms for easier multiplication: 0.9(6 + x) + 1 = 181 (6 * 0.9 + x * 0.9) + 1 = 181 (5.4 + 0.9x) + 1 = 181 Reorder the terms: 5.4 + 1 + 0.9x = 181 Combine like terms: 5.4 + 1 = 6.4 6.4 + 0.9x = 181 Solving 6.4 + 0.9x = 181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.9x = 181 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.9x = 181 + -6.4 0.9x = 181 + -6.4 Combine like terms: 181 + -6.4 = 174.6 0.9x = 174.6 Divide each side by '0.9'. x = 194 Simplifying x = 194
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