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Simplifying 3.259x + -8.638 = -3.8(8.625x + 4.917) Reorder the terms: -8.638 + 3.259x = -3.8(8.625x + 4.917) Reorder the terms: -8.638 + 3.259x = -3.8(4.917 + 8.625x) -8.638 + 3.259x = (4.917 * -3.8 + 8.625x * -3.8) -8.638 + 3.259x = (-18.6846 + -32.775x) Solving -8.638 + 3.259x = -18.6846 + -32.775x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.775x' to each side of the equation. -8.638 + 3.259x + 32.775x = -18.6846 + -32.775x + 32.775x Combine like terms: 3.259x + 32.775x = 36.034x -8.638 + 36.034x = -18.6846 + -32.775x + 32.775x Combine like terms: -32.775x + 32.775x = 0.000 -8.638 + 36.034x = -18.6846 + 0.000 -8.638 + 36.034x = -18.6846 Add '8.638' to each side of the equation. -8.638 + 8.638 + 36.034x = -18.6846 + 8.638 Combine like terms: -8.638 + 8.638 = 0.000 0.000 + 36.034x = -18.6846 + 8.638 36.034x = -18.6846 + 8.638 Combine like terms: -18.6846 + 8.638 = -10.0466 36.034x = -10.0466 Divide each side by '36.034'. x = -0.2788089027 Simplifying x = -0.2788089027
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