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Simplifying -3(4x + 3) + 4(6x + 7) = 43 Reorder the terms: -3(3 + 4x) + 4(6x + 7) = 43 (3 * -3 + 4x * -3) + 4(6x + 7) = 43 (-9 + -12x) + 4(6x + 7) = 43 Reorder the terms: -9 + -12x + 4(7 + 6x) = 43 -9 + -12x + (7 * 4 + 6x * 4) = 43 -9 + -12x + (28 + 24x) = 43 Reorder the terms: -9 + 28 + -12x + 24x = 43 Combine like terms: -9 + 28 = 19 19 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x 19 + 12x = 43 Solving 19 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 12x = 43 + -19 Combine like terms: 19 + -19 = 0 0 + 12x = 43 + -19 12x = 43 + -19 Combine like terms: 43 + -19 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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