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Simplifying 4.19 + -1.8(4.5x + -6.4) = 3.1(9.8 + x) Reorder the terms: 4.19 + -1.8(-6.4 + 4.5x) = 3.1(9.8 + x) 4.19 + (-6.4 * -1.8 + 4.5x * -1.8) = 3.1(9.8 + x) 4.19 + (11.52 + -8.1x) = 3.1(9.8 + x) Combine like terms: 4.19 + 11.52 = 15.71 15.71 + -8.1x = 3.1(9.8 + x) 15.71 + -8.1x = (9.8 * 3.1 + x * 3.1) 15.71 + -8.1x = (30.38 + 3.1x) Solving 15.71 + -8.1x = 30.38 + 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. 15.71 + -8.1x + -3.1x = 30.38 + 3.1x + -3.1x Combine like terms: -8.1x + -3.1x = -11.2x 15.71 + -11.2x = 30.38 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 15.71 + -11.2x = 30.38 + 0.0 15.71 + -11.2x = 30.38 Add '-15.71' to each side of the equation. 15.71 + -15.71 + -11.2x = 30.38 + -15.71 Combine like terms: 15.71 + -15.71 = 0.00 0.00 + -11.2x = 30.38 + -15.71 -11.2x = 30.38 + -15.71 Combine like terms: 30.38 + -15.71 = 14.67 -11.2x = 14.67 Divide each side by '-11.2'. x = -1.309821429 Simplifying x = -1.309821429
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