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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 = 36x -5 + 36x = 43 Solving -5 + 36x = 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 + 36x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 36x = 43 + 5 36x = 43 + 5 Combine like terms: 43 + 5 = 48 36x = 48 Divide each side by '36'. x = 1.333333333 Simplifying x = 1.333333333
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