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Simplifying 3(9 + -8x + -4x) + 8(3x + 4) = 11 Combine like terms: -8x + -4x = -12x 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 = 59 59 + -36x + 24x = 11 Combine like terms: -36x + 24x = -12x 59 + -12x = 11 Solving 59 + -12x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -12x = 11 + -59 Combine like terms: 59 + -59 = 0 0 + -12x = 11 + -59 -12x = 11 + -59 Combine like terms: 11 + -59 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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