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Simplifying 34(45 + -6.5x) = 14(6x + -6) + 28.0 (45 * 34 + -6.5x * 34) = 14(6x + -6) + 28.0 (1530 + -221x) = 14(6x + -6) + 28.0 Reorder the terms: 1530 + -221x = 14(-6 + 6x) + 28.0 1530 + -221x = (-6 * 14 + 6x * 14) + 28.0 1530 + -221x = (-84 + 84x) + 28.0 Reorder the terms: 1530 + -221x = -84 + 28.0 + 84x Combine like terms: -84 + 28.0 = -56 1530 + -221x = -56 + 84x Solving 1530 + -221x = -56 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 1530 + -221x + -84x = -56 + 84x + -84x Combine like terms: -221x + -84x = -305x 1530 + -305x = -56 + 84x + -84x Combine like terms: 84x + -84x = 0 1530 + -305x = -56 + 0 1530 + -305x = -56 Add '-1530' to each side of the equation. 1530 + -1530 + -305x = -56 + -1530 Combine like terms: 1530 + -1530 = 0 0 + -305x = -56 + -1530 -305x = -56 + -1530 Combine like terms: -56 + -1530 = -1586 -305x = -1586 Divide each side by '-305'. x = 5.2 Simplifying x = 5.2
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