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Simplifying 0.3(12x + 3) + 4(6x + 1) = 43 Reorder the terms: 0.3(3 + 12x) + 4(6x + 1) = 43 (3 * 0.3 + 12x * 0.3) + 4(6x + 1) = 43 (0.9 + 3.6x) + 4(6x + 1) = 43 Reorder the terms: 0.9 + 3.6x + 4(1 + 6x) = 43 0.9 + 3.6x + (1 * 4 + 6x * 4) = 43 0.9 + 3.6x + (4 + 24x) = 43 Reorder the terms: 0.9 + 4 + 3.6x + 24x = 43 Combine like terms: 0.9 + 4 = 4.9 4.9 + 3.6x + 24x = 43 Combine like terms: 3.6x + 24x = 27.6x 4.9 + 27.6x = 43 Solving 4.9 + 27.6x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.9' to each side of the equation. 4.9 + -4.9 + 27.6x = 43 + -4.9 Combine like terms: 4.9 + -4.9 = 0.0 0.0 + 27.6x = 43 + -4.9 27.6x = 43 + -4.9 Combine like terms: 43 + -4.9 = 38.1 27.6x = 38.1 Divide each side by '27.6'. x = 1.380434783 Simplifying x = 1.380434783
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