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Simplifying 2 + -3(4x + 3) + 4(6x + 1) = 43 Reorder the terms: 2 + -3(3 + 4x) + 4(6x + 1) = 43 2 + (3 * -3 + 4x * -3) + 4(6x + 1) = 43 2 + (-9 + -12x) + 4(6x + 1) = 43 Reorder the terms: 2 + -9 + -12x + 4(1 + 6x) = 43 2 + -9 + -12x + (1 * 4 + 6x * 4) = 43 2 + -9 + -12x + (4 + 24x) = 43 Reorder the terms: 2 + -9 + 4 + -12x + 24x = 43 Combine like terms: 2 + -9 = -7 -7 + 4 + -12x + 24x = 43 Combine like terms: -7 + 4 = -3 -3 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -3 + 12x = 43 Solving -3 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12x = 43 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 43 + 3 12x = 43 + 3 Combine like terms: 43 + 3 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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