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Simplifying 0.9(2x + 9) = 20(x + 5) Reorder the terms: 0.9(9 + 2x) = 20(x + 5) (9 * 0.9 + 2x * 0.9) = 20(x + 5) (8.1 + 1.8x) = 20(x + 5) Reorder the terms: 8.1 + 1.8x = 20(5 + x) 8.1 + 1.8x = (5 * 20 + x * 20) 8.1 + 1.8x = (100 + 20x) Solving 8.1 + 1.8x = 100 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8.1 + 1.8x + -20x = 100 + 20x + -20x Combine like terms: 1.8x + -20x = -18.2x 8.1 + -18.2x = 100 + 20x + -20x Combine like terms: 20x + -20x = 0 8.1 + -18.2x = 100 + 0 8.1 + -18.2x = 100 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -18.2x = 100 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -18.2x = 100 + -8.1 -18.2x = 100 + -8.1 Combine like terms: 100 + -8.1 = 91.9 -18.2x = 91.9 Divide each side by '-18.2'. x = -5.049450549 Simplifying x = -5.049450549
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