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Simplifying -8.2x + -15.4 = 3.1(9.7 + -6.3x) Reorder the terms: -15.4 + -8.2x = 3.1(9.7 + -6.3x) -15.4 + -8.2x = (9.7 * 3.1 + -6.3x * 3.1) -15.4 + -8.2x = (30.07 + -19.53x) Solving -15.4 + -8.2x = 30.07 + -19.53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.53x' to each side of the equation. -15.4 + -8.2x + 19.53x = 30.07 + -19.53x + 19.53x Combine like terms: -8.2x + 19.53x = 11.33x -15.4 + 11.33x = 30.07 + -19.53x + 19.53x Combine like terms: -19.53x + 19.53x = 0.00 -15.4 + 11.33x = 30.07 + 0.00 -15.4 + 11.33x = 30.07 Add '15.4' to each side of the equation. -15.4 + 15.4 + 11.33x = 30.07 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + 11.33x = 30.07 + 15.4 11.33x = 30.07 + 15.4 Combine like terms: 30.07 + 15.4 = 45.47 11.33x = 45.47 Divide each side by '11.33'. x = 4.013239188 Simplifying x = 4.013239188
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