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Simplifying 1.41(x + 5.72) + x = 2.18(x + 4.10) Reorder the terms: 1.41(5.72 + x) + x = 2.18(x + 4.10) (5.72 * 1.41 + x * 1.41) + x = 2.18(x + 4.10) (8.0652 + 1.41x) + x = 2.18(x + 4.10) Combine like terms: 1.41x + x = 2.41x 8.0652 + 2.41x = 2.18(x + 4.10) Reorder the terms: 8.0652 + 2.41x = 2.18(4.10 + x) 8.0652 + 2.41x = (4.10 * 2.18 + x * 2.18) 8.0652 + 2.41x = (8.938 + 2.18x) Solving 8.0652 + 2.41x = 8.938 + 2.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.18x' to each side of the equation. 8.0652 + 2.41x + -2.18x = 8.938 + 2.18x + -2.18x Combine like terms: 2.41x + -2.18x = 0.23x 8.0652 + 0.23x = 8.938 + 2.18x + -2.18x Combine like terms: 2.18x + -2.18x = 0.00 8.0652 + 0.23x = 8.938 + 0.00 8.0652 + 0.23x = 8.938 Add '-8.0652' to each side of the equation. 8.0652 + -8.0652 + 0.23x = 8.938 + -8.0652 Combine like terms: 8.0652 + -8.0652 = 0.0000 0.0000 + 0.23x = 8.938 + -8.0652 0.23x = 8.938 + -8.0652 Combine like terms: 8.938 + -8.0652 = 0.8728 0.23x = 0.8728 Divide each side by '0.23'. x = 3.794782609 Simplifying x = 3.794782609
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