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Simplifying -3(4x + 3) * 3 + 4(6x + 1) = 43 Reorder the terms: -3(3 + 4x) * 3 + 4(6x + 1) = 43 Reorder the terms for easier multiplication: -3 * 3(3 + 4x) + 4(6x + 1) = 43 Multiply -3 * 3 -9(3 + 4x) + 4(6x + 1) = 43 (3 * -9 + 4x * -9) + 4(6x + 1) = 43 (-27 + -36x) + 4(6x + 1) = 43 Reorder the terms: -27 + -36x + 4(1 + 6x) = 43 -27 + -36x + (1 * 4 + 6x * 4) = 43 -27 + -36x + (4 + 24x) = 43 Reorder the terms: -27 + 4 + -36x + 24x = 43 Combine like terms: -27 + 4 = -23 -23 + -36x + 24x = 43 Combine like terms: -36x + 24x = -12x -23 + -12x = 43 Solving -23 + -12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -12x = 43 + 23 Combine like terms: -23 + 23 = 0 0 + -12x = 43 + 23 -12x = 43 + 23 Combine like terms: 43 + 23 = 66 -12x = 66 Divide each side by '-12'. x = -5.5 Simplifying x = -5.5
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