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Simplifying 7.5(8x + 4) + 6(5.5x + 2.5) = 0 Reorder the terms: 7.5(4 + 8x) + 6(5.5x + 2.5) = 0 (4 * 7.5 + 8x * 7.5) + 6(5.5x + 2.5) = 0 (30 + 60x) + 6(5.5x + 2.5) = 0 Reorder the terms: 30 + 60x + 6(2.5 + 5.5x) = 0 30 + 60x + (2.5 * 6 + 5.5x * 6) = 0 30 + 60x + (15 + 33x) = 0 Reorder the terms: 30 + 15 + 60x + 33x = 0 Combine like terms: 30 + 15 = 45 45 + 60x + 33x = 0 Combine like terms: 60x + 33x = 93x 45 + 93x = 0 Solving 45 + 93x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 93x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 93x = 0 + -45 93x = 0 + -45 Combine like terms: 0 + -45 = -45 93x = -45 Divide each side by '93'. x = -0.4838709677 Simplifying x = -0.4838709677
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