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Simplifying 0.5(2x + 4) + 0.3(12x + 6) = 0 Reorder the terms: 0.5(4 + 2x) + 0.3(12x + 6) = 0 (4 * 0.5 + 2x * 0.5) + 0.3(12x + 6) = 0 (2 + 1x) + 0.3(12x + 6) = 0 Reorder the terms: 2 + 1x + 0.3(6 + 12x) = 0 2 + 1x + (6 * 0.3 + 12x * 0.3) = 0 2 + 1x + (1.8 + 3.6x) = 0 Reorder the terms: 2 + 1.8 + 1x + 3.6x = 0 Combine like terms: 2 + 1.8 = 3.8 3.8 + 1x + 3.6x = 0 Combine like terms: 1x + 3.6x = 4.6x 3.8 + 4.6x = 0 Solving 3.8 + 4.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 4.6x = 0 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 4.6x = 0 + -3.8 4.6x = 0 + -3.8 Combine like terms: 0 + -3.8 = -3.8 4.6x = -3.8 Divide each side by '4.6'. x = -0.8260869565 Simplifying x = -0.8260869565
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