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Simplifying 0.30(x + 0.90) + 0.10 = 31 Reorder the terms: 0.30(0.90 + x) + 0.10 = 31 (0.90 * 0.30 + x * 0.30) + 0.10 = 31 (0.27 + 0.30x) + 0.10 = 31 Reorder the terms: 0.27 + 0.10 + 0.30x = 31 Combine like terms: 0.27 + 0.10 = 0.37 0.37 + 0.30x = 31 Solving 0.37 + 0.30x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.37' to each side of the equation. 0.37 + -0.37 + 0.30x = 31 + -0.37 Combine like terms: 0.37 + -0.37 = 0.00 0.00 + 0.30x = 31 + -0.37 0.30x = 31 + -0.37 Combine like terms: 31 + -0.37 = 30.63 0.30x = 30.63 Divide each side by '0.30'. x = 102.1 Simplifying x = 102.1
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