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Simplifying 30(58 + -6.5x) = 14(6x + -8) + 66.4 (58 * 30 + -6.5x * 30) = 14(6x + -8) + 66.4 (1740 + -195x) = 14(6x + -8) + 66.4 Reorder the terms: 1740 + -195x = 14(-8 + 6x) + 66.4 1740 + -195x = (-8 * 14 + 6x * 14) + 66.4 1740 + -195x = (-112 + 84x) + 66.4 Reorder the terms: 1740 + -195x = -112 + 66.4 + 84x Combine like terms: -112 + 66.4 = -45.6 1740 + -195x = -45.6 + 84x Solving 1740 + -195x = -45.6 + 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. 1740 + -195x + -84x = -45.6 + 84x + -84x Combine like terms: -195x + -84x = -279x 1740 + -279x = -45.6 + 84x + -84x Combine like terms: 84x + -84x = 0 1740 + -279x = -45.6 + 0 1740 + -279x = -45.6 Add '-1740' to each side of the equation. 1740 + -1740 + -279x = -45.6 + -1740 Combine like terms: 1740 + -1740 = 0 0 + -279x = -45.6 + -1740 -279x = -45.6 + -1740 Combine like terms: -45.6 + -1740 = -1785.6 -279x = -1785.6 Divide each side by '-279'. x = 6.4 Simplifying x = 6.4
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