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Simplifying -3(x + 3) + 4(6x + 10) = 43 Reorder the terms: -3(3 + x) + 4(6x + 10) = 43 (3 * -3 + x * -3) + 4(6x + 10) = 43 (-9 + -3x) + 4(6x + 10) = 43 Reorder the terms: -9 + -3x + 4(10 + 6x) = 43 -9 + -3x + (10 * 4 + 6x * 4) = 43 -9 + -3x + (40 + 24x) = 43 Reorder the terms: -9 + 40 + -3x + 24x = 43 Combine like terms: -9 + 40 = 31 31 + -3x + 24x = 43 Combine like terms: -3x + 24x = 21x 31 + 21x = 43 Solving 31 + 21x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 21x = 43 + -31 Combine like terms: 31 + -31 = 0 0 + 21x = 43 + -31 21x = 43 + -31 Combine like terms: 43 + -31 = 12 21x = 12 Divide each side by '21'. x = 0.5714285714 Simplifying x = 0.5714285714
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