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Simplifying 3(9 + -12x) + -8(3x + 4) = 11 (9 * 3 + -12x * 3) + -8(3x + 4) = 11 (27 + -36x) + -8(3x + 4) = 11 Reorder the terms: 27 + -36x + -8(4 + 3x) = 11 27 + -36x + (4 * -8 + 3x * -8) = 11 27 + -36x + (-32 + -24x) = 11 Reorder the terms: 27 + -32 + -36x + -24x = 11 Combine like terms: 27 + -32 = -5 -5 + -36x + -24x = 11 Combine like terms: -36x + -24x = -60x -5 + -60x = 11 Solving -5 + -60x = 11 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 + -60x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -60x = 11 + 5 -60x = 11 + 5 Combine like terms: 11 + 5 = 16 -60x = 16 Divide each side by '-60'. x = -0.2666666667 Simplifying x = -0.2666666667
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