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Simplifying -3[4x + 3] + 4(6x + 1) = 43 Reorder the terms: -3[3 + 4x] + 4(6x + 1) = 43 [3 * -3 + 4x * -3] + 4(6x + 1) = 43 [-9 + -12x] + 4(6x + 1) = 43 Reorder the terms: -9 + -12x + 4(1 + 6x) = 43 -9 + -12x + (1 * 4 + 6x * 4) = 43 -9 + -12x + (4 + 24x) = 43 Reorder the terms: -9 + 4 + -12x + 24x = 43 Combine like terms: -9 + 4 = -5 -5 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -5 + 12x = 43 Solving -5 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 43 + 5 12x = 43 + 5 Combine like terms: 43 + 5 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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