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Simplifying 1.5(3x + 4) + 0.25(6x + 8) = 0 Reorder the terms: 1.5(4 + 3x) + 0.25(6x + 8) = 0 (4 * 1.5 + 3x * 1.5) + 0.25(6x + 8) = 0 (6 + 4.5x) + 0.25(6x + 8) = 0 Reorder the terms: 6 + 4.5x + 0.25(8 + 6x) = 0 6 + 4.5x + (8 * 0.25 + 6x * 0.25) = 0 6 + 4.5x + (2 + 1.5x) = 0 Reorder the terms: 6 + 2 + 4.5x + 1.5x = 0 Combine like terms: 6 + 2 = 8 8 + 4.5x + 1.5x = 0 Combine like terms: 4.5x + 1.5x = 6x 8 + 6x = 0 Solving 8 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 0 + -8 6x = 0 + -8 Combine like terms: 0 + -8 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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