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Simplifying 3.1(2x + 5) = 5.7 + -1.3x Reorder the terms: 3.1(5 + 2x) = 5.7 + -1.3x (5 * 3.1 + 2x * 3.1) = 5.7 + -1.3x (15.5 + 6.2x) = 5.7 + -1.3x Solving 15.5 + 6.2x = 5.7 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 15.5 + 6.2x + 1.3x = 5.7 + -1.3x + 1.3x Combine like terms: 6.2x + 1.3x = 7.5x 15.5 + 7.5x = 5.7 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 15.5 + 7.5x = 5.7 + 0.0 15.5 + 7.5x = 5.7 Add '-15.5' to each side of the equation. 15.5 + -15.5 + 7.5x = 5.7 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + 7.5x = 5.7 + -15.5 7.5x = 5.7 + -15.5 Combine like terms: 5.7 + -15.5 = -9.8 7.5x = -9.8 Divide each side by '7.5'. x = -1.306666667 Simplifying x = -1.306666667
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