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Simplifying 7.5(8x + 4) + -6(4.5x + 2.5) = 0 Reorder the terms: 7.5(4 + 8x) + -6(4.5x + 2.5) = 0 (4 * 7.5 + 8x * 7.5) + -6(4.5x + 2.5) = 0 (30 + 60x) + -6(4.5x + 2.5) = 0 Reorder the terms: 30 + 60x + -6(2.5 + 4.5x) = 0 30 + 60x + (2.5 * -6 + 4.5x * -6) = 0 30 + 60x + (-15 + -27x) = 0 Reorder the terms: 30 + -15 + 60x + -27x = 0 Combine like terms: 30 + -15 = 15 15 + 60x + -27x = 0 Combine like terms: 60x + -27x = 33x 15 + 33x = 0 Solving 15 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 33x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 33x = 0 + -15 33x = 0 + -15 Combine like terms: 0 + -15 = -15 33x = -15 Divide each side by '33'. x = -0.4545454545 Simplifying x = -0.4545454545
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