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Simplifying 16.6576 = 3.88(2.2 + 5.8x) + 4.4(1 + -3.1x) 16.6576 = (2.2 * 3.88 + 5.8x * 3.88) + 4.4(1 + -3.1x) 16.6576 = (8.536 + 22.504x) + 4.4(1 + -3.1x) 16.6576 = 8.536 + 22.504x + (1 * 4.4 + -3.1x * 4.4) 16.6576 = 8.536 + 22.504x + (4.4 + -13.64x) Reorder the terms: 16.6576 = 8.536 + 4.4 + 22.504x + -13.64x Combine like terms: 8.536 + 4.4 = 12.936 16.6576 = 12.936 + 22.504x + -13.64x Combine like terms: 22.504x + -13.64x = 8.864x 16.6576 = 12.936 + 8.864x Solving 16.6576 = 12.936 + 8.864x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.864x' to each side of the equation. 16.6576 + -8.864x = 12.936 + 8.864x + -8.864x Combine like terms: 8.864x + -8.864x = 0.000 16.6576 + -8.864x = 12.936 + 0.000 16.6576 + -8.864x = 12.936 Add '-16.6576' to each side of the equation. 16.6576 + -16.6576 + -8.864x = 12.936 + -16.6576 Combine like terms: 16.6576 + -16.6576 = 0.0000 0.0000 + -8.864x = 12.936 + -16.6576 -8.864x = 12.936 + -16.6576 Combine like terms: 12.936 + -16.6576 = -3.7216 -8.864x = -3.7216 Divide each side by '-8.864'. x = 0.4198555957 Simplifying x = 0.4198555957
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