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Simplifying -3(4x + 3) + 4(6x + 2) = 43 Reorder the terms: -3(3 + 4x) + 4(6x + 2) = 43 (3 * -3 + 4x * -3) + 4(6x + 2) = 43 (-9 + -12x) + 4(6x + 2) = 43 Reorder the terms: -9 + -12x + 4(2 + 6x) = 43 -9 + -12x + (2 * 4 + 6x * 4) = 43 -9 + -12x + (8 + 24x) = 43 Reorder the terms: -9 + 8 + -12x + 24x = 43 Combine like terms: -9 + 8 = -1 -1 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -1 + 12x = 43 Solving -1 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12x = 43 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 43 + 1 12x = 43 + 1 Combine like terms: 43 + 1 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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