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Simplifying 6.7(2.1x + 4.8) = -8.4(4.1x + 7.6) + -5.2 Reorder the terms: 6.7(4.8 + 2.1x) = -8.4(4.1x + 7.6) + -5.2 (4.8 * 6.7 + 2.1x * 6.7) = -8.4(4.1x + 7.6) + -5.2 (32.16 + 14.07x) = -8.4(4.1x + 7.6) + -5.2 Reorder the terms: 32.16 + 14.07x = -8.4(7.6 + 4.1x) + -5.2 32.16 + 14.07x = (7.6 * -8.4 + 4.1x * -8.4) + -5.2 32.16 + 14.07x = (-63.84 + -34.44x) + -5.2 Reorder the terms: 32.16 + 14.07x = -63.84 + -5.2 + -34.44x Combine like terms: -63.84 + -5.2 = -69.04 32.16 + 14.07x = -69.04 + -34.44x Solving 32.16 + 14.07x = -69.04 + -34.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34.44x' to each side of the equation. 32.16 + 14.07x + 34.44x = -69.04 + -34.44x + 34.44x Combine like terms: 14.07x + 34.44x = 48.51x 32.16 + 48.51x = -69.04 + -34.44x + 34.44x Combine like terms: -34.44x + 34.44x = 0.00 32.16 + 48.51x = -69.04 + 0.00 32.16 + 48.51x = -69.04 Add '-32.16' to each side of the equation. 32.16 + -32.16 + 48.51x = -69.04 + -32.16 Combine like terms: 32.16 + -32.16 = 0.00 0.00 + 48.51x = -69.04 + -32.16 48.51x = -69.04 + -32.16 Combine like terms: -69.04 + -32.16 = -101.2 48.51x = -101.2 Divide each side by '48.51'. x = -2.0861678 Simplifying x = -2.0861678
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